Solve 4 (z + 5) = 32.
The solution is z = \u2610<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n We are asked to solve the equation ( 4(z + 5) = 32 ).<\/p>\n\n\n\n The first step is to apply the distributive property, which states that ( a(b + c) = ab + ac ). In this case, we distribute the 4 to both terms inside the parentheses.<\/p>\n\n\n\n [ Thus, the equation becomes:<\/p>\n\n\n\n [ Next, we want to isolate the term with the variable ( z ). To do this, we subtract 20 from both sides of the equation to eliminate the constant term on the left-hand side:<\/p>\n\n\n\n [ Simplifying both sides:<\/p>\n\n\n\n [ Now that we have ( 4z = 12 ), we need to solve for ( z ) by dividing both sides of the equation by 4:<\/p>\n\n\n\n [ This simplifies to:<\/p>\n\n\n\n [ To ensure the solution is correct, we can substitute ( z = 3 ) back into the original equation to check if both sides are equal:<\/p>\n\n\n\n [ Substitute ( z = 3 ):<\/p>\n\n\n\n [ Simplify:<\/p>\n\n\n\n [ [ Since both sides are equal, the solution ( z = 3 ) is correct.<\/p>\n\n\n\n The solution to the equation ( 4(z + 5) = 32 ) is ( z = 3 ).<\/p>\n","protected":false},"excerpt":{"rendered":" Solve 4 (z + 5) = 32.The solution is z = \u2610 The Correct Answer and Explanation is: We are asked to solve the equation ( 4(z + 5) = 32 ). Step 1: Distribute the 4 The first step is to apply the distributive property, which states that ( a(b + c) = ab […]<\/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-166935","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166935","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=166935"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166935\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=166935"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=166935"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=166935"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Distribute the 4<\/h3>\n\n\n\n
4(z + 5) = 4z + 4 \\times 5 = 4z + 20
]<\/p>\n\n\n\n
4z + 20 = 32
]<\/p>\n\n\n\nStep 2: Isolate the variable term<\/h3>\n\n\n\n
4z + 20 – 20 = 32 – 20
]<\/p>\n\n\n\n
4z = 12
]<\/p>\n\n\n\nStep 3: Solve for ( z )<\/h3>\n\n\n\n
\\frac{4z}{4} = \\frac{12}{4}
]<\/p>\n\n\n\n
z = 3
]<\/p>\n\n\n\nStep 4: Verify the solution<\/h3>\n\n\n\n
4(z + 5) = 32
]<\/p>\n\n\n\n
4(3 + 5) = 32
]<\/p>\n\n\n\n
4(8) = 32
]<\/p>\n\n\n\n
32 = 32
]<\/p>\n\n\n\nConclusion<\/h3>\n\n\n\n