{"id":275761,"date":"2025-07-30T06:51:08","date_gmt":"2025-07-30T06:51:08","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=275761"},"modified":"2025-07-30T06:51:10","modified_gmt":"2025-07-30T06:51:10","slug":"simplify-32-8s14t-6u","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/30\/simplify-32-8s14t-6u\/","title":{"rendered":"Simplify -3(2-8s+14t-6u)"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-1187.png\" alt=\"\" class=\"wp-image-275762\"\/><\/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 the third option:&nbsp;<strong>-6 + 24s &#8211; 42t + 18u<\/strong><\/p>\n\n\n\n<p>To simplify the expression -3(2 &#8211; 8s + 14t &#8211; 6u), we need to use the distributive property. This mathematical rule states that a number outside a set of parentheses should be multiplied by every single term inside the parentheses. In this problem, the number outside is -3, and the terms inside are 2, -8s, +14t, and -6u.<\/p>\n\n\n\n<p>Let&#8217;s break down the process step by step:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Multiply -3 by the first term, 2.<\/strong><br>-3 * 2 = -6<\/li>\n\n\n\n<li><strong>Multiply -3 by the second term, -8s.<\/strong><br>When multiplying two negative numbers, the result is positive.<br>-3 * (-8s) = +24s<\/li>\n\n\n\n<li><strong>Multiply -3 by the third term, +14t.<\/strong><br>When multiplying a negative number by a positive number, the result is negative.<br>-3 * 14t = -42t<\/li>\n\n\n\n<li><strong>Multiply -3 by the fourth term, -6u.<\/strong><br>Again, multiplying two negative numbers results in a positive number.<br>-3 * (-6u) = +18u<\/li>\n<\/ol>\n\n\n\n<p>Now, we combine all these results to form the simplified expression. We assemble the new terms in order: -6, +24s, -42t, and +18u.<\/p>\n\n\n\n<p>The final simplified expression is&nbsp;<strong>-6 + 24s &#8211; 42t + 18u<\/strong>.<\/p>\n\n\n\n<p>This expression cannot be simplified further because there are no like terms to combine. Each variable (s, t, and u) is distinct, and there is only one constant term (-6). Comparing our result to the given choices, it perfectly matches the third option. The other options are incorrect because they either fail to distribute the -3 to all terms or make errors with the signs during multiplication.<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"275764\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-2516.jpeg\" alt=\"\" class=\"wp-image-275764\"\/><\/figure>\n<\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The correct answer is the third option:&nbsp;-6 + 24s &#8211; 42t + 18u To simplify the expression -3(2 &#8211; 8s + 14t &#8211; 6u), we need to use the distributive property. This mathematical rule states that a number outside a set of parentheses should be multiplied by every single [&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-275761","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/275761","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=275761"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/275761\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=275761"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=275761"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=275761"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}