Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter R - Elementary Algebra Review - R.2 Equations, Inequalities, and Problem Solving - R.2 Exercise Set: 27

Answer

$c=\dfrac{43}{2}$

Work Step by Step

Using $a(b+c)=ab+ac$ (or the Distributive Property) and combining like terms, the value of the variable that satisfies the given expression, $ 2+3(4+c)=1-5(6-c) ,$ is \begin{array}{l}\require{cancel} 2+12+3c=1-30+5c \\\\ 3c-5c=1-30-2-12 \\\\ -2c=-43 \\\\ c=\dfrac{-43}{-2} \\\\ c=\dfrac{43}{2} .\end{array}
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