{"id":274215,"date":"2025-07-28T06:52:16","date_gmt":"2025-07-28T06:52:16","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=274215"},"modified":"2025-07-28T06:52:18","modified_gmt":"2025-07-28T06:52:18","slug":"10g52g9","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/28\/10g52g9\/","title":{"rendered":"10(g+5)=2(g+9)."},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-1055.png\" alt=\"\" class=\"wp-image-274216\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is&nbsp;<strong>g = -4<\/strong>.<\/p>\n\n\n\n<p>Here is a detailed explanation of the steps required to solve the algebraic equation&nbsp;10(g + 5) = 2(g + 9).<\/p>\n\n\n\n<p>The goal of solving this equation is to find the value of the variable&nbsp;g&nbsp;that makes the statement true. The process involves isolating the variable&nbsp;g&nbsp;on one side of the equals sign.<\/p>\n\n\n\n<p>First, we must simplify both sides of the equation by applying the distributive property. The distributive property states that&nbsp;a(b + c) = ab + ac. We will apply this rule to both the left and right sides of our equation.<\/p>\n\n\n\n<p>On the left side, we have&nbsp;10(g + 5). We multiply 10 by each term inside the parentheses:<br>10 * g = 10g<br>10 * 5 = 50<br>So, the left side becomes&nbsp;10g + 50.<\/p>\n\n\n\n<p>On the right side, we have&nbsp;2(g + 9). We multiply 2 by each term inside the parentheses:<br>2 * g = 2g<br>2 * 9 = 18<br>So, the right side becomes&nbsp;2g + 18.<\/p>\n\n\n\n<p>Now, the equation is rewritten as:<br>10g + 50 = 2g + 18<\/p>\n\n\n\n<p>The next step is to collect all terms containing the variable&nbsp;g&nbsp;on one side of the equation and all the constant terms (the numbers) on the other side. We can start by moving the&nbsp;g&nbsp;terms to the left side. To do this, we subtract&nbsp;2g&nbsp;from both sides of the equation to maintain the balance:<br>10g &#8211; 2g + 50 = 2g &#8211; 2g + 18<br>8g + 50 = 18<\/p>\n\n\n\n<p>Now, we need to move the constant terms to the right side. We can achieve this by subtracting 50 from both sides:<br>8g + 50 &#8211; 50 = 18 &#8211; 50<br>8g = -32<\/p>\n\n\n\n<p>The final step is to solve for&nbsp;g. Since&nbsp;g&nbsp;is currently being multiplied by 8, we perform the inverse operation, which is division. We divide both sides of the equation by 8:<br>8g \/ 8 = -32 \/ 8<br>g = -4<\/p>\n\n\n\n<p>To verify the solution, we can substitute&nbsp;g = -4&nbsp;back into the original equation:<br>10((-4) + 5) = 2((-4) + 9)<br>10(1) = 2(5)<br>10 = 10<br>Since both sides are equal, our solution&nbsp;g = -4&nbsp;is correct.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-2385.jpeg\" alt=\"\" class=\"wp-image-274217\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The correct answer is&nbsp;g = -4. Here is a detailed explanation of the steps required to solve the algebraic equation&nbsp;10(g + 5) = 2(g + 9). The goal of solving this equation is to find the value of the variable&nbsp;g&nbsp;that makes the statement true. The process involves isolating the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-274215","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/274215","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=274215"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/274215\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=274215"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=274215"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=274215"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}