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 1-9 - Cumulative Review - Page 625: 2



Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the Distributive Property to simplify the given expression, $ 3c-[8-2(1-c)] .$ Then combine like terms. $\bf{\text{Solution Details:}}$ Using the Distributive Property which is given by $a(b+c)=ab+ac,$ the expression above is equivalent to \begin{array}{l}\require{cancel} 3c-[8-2(1)-2(-c)] \\\\= 3c-[8-2+2c] \\\\= 3c-1[8]-1[-2]-1[2c] \\\\= 3c-8+2-2c .\end{array} By combining like terms, the expression above is equivalent to \begin{array}{l}\require{cancel} 3c-8+2-2c \\\\= (3c-2c)+(-8+2) \\\\= c-6 .\end{array}
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