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 - Introduction to Algebraic Expressions - 1.6 Subtraction of Real Numbers - 1.6 Exercise Set: 122

Answer

$3x+6z+46$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To simplify the given expression, $ 14-(-5x)+2z-(-32)+4z-2x ,$ remove the parentheses and then combine like terms. The expression $a-(-b)$ simplifies to $a+b.$ The expression $a+(-b)$ simplifies to $a-b.$ $\bf{\text{Solution Details:}}$ Removing the parentheses and then grouping like terms result to \begin{array}{l}\require{cancel} 14-(-5x)+2z-(-32)+4z-2x \\\\= 14+5x+2z+32+4z-2x \\\\= (5x-2x)+(2z+4z)+(14+32) \\\\= 3x+6z+46 .\end{array}
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