What is 6(-5n + 7) simplified?<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n The expression ( 6(-5n + 7) ) can be simplified by distributing the 6 across the terms inside the parentheses. Here\u2019s how you can do it step by step:<\/p>\n\n\n\n The distributive property states that when you multiply a number by a sum or difference inside parentheses, you must multiply the number by each term inside the parentheses. In this case, you are multiplying 6 by both terms (-5n) and (+7).<\/p>\n\n\n\n Distribute the 6 to each term inside the parentheses:<\/p>\n\n\n\n [ Now, simplify each term:<\/p>\n\n\n\n After distributing and simplifying, the expression becomes:<\/p>\n\n\n\n [ The simplified expression is (-30n + 42).<\/p>\n\n\n\n The process of simplification uses the distributive property, which is a basic principle in algebra. It ensures that each term inside the parentheses is multiplied by the factor outside the parentheses. In this case, the factor is 6. By applying the distributive property, you avoid performing any unnecessary calculations later and can simplify expressions that involve variables and constants. This technique is essential for solving equations, simplifying algebraic expressions, and preparing for more complex algebraic manipulations. Understanding how to distribute and simplify is foundational to working with polynomials and linear expressions in algebra.<\/p>\n","protected":false},"excerpt":{"rendered":" What is 6(-5n + 7) simplified? The Correct Answer and Explanation is: The expression ( 6(-5n + 7) ) can be simplified by distributing the 6 across the terms inside the parentheses. Here\u2019s how you can do it step by step: Step 1: Understand Distribution The distributive property states that when you multiply a number […]<\/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-169361","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/169361","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=169361"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/169361\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=169361"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=169361"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=169361"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Understand Distribution<\/h3>\n\n\n\n
Step 2: Apply the Distributive Property<\/h3>\n\n\n\n
6(-5n) + 6(7)
]<\/p>\n\n\n\nStep 3: Simplify Each Term<\/h3>\n\n\n\n
\n
Step 4: Write the Final Simplified Expression<\/h3>\n\n\n\n
-30n + 42
]<\/p>\n\n\n\nFinal Answer:<\/h3>\n\n\n\n
Explanation<\/h3>\n\n\n\n