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 - 1.8 Exponential Notation and Order of Operations - 1.8 Exercise Set: 117

Answer

$-5t-6r+21$

Work Step by Step

Using order of operations, the given expression, $ 5t-\{7t-[4r-3(t-7)]+6r\}-4r $, simplifies to \begin{array}{l}\require{cancel} 5t-\{7t-[4r-3t+21]+6r\}-4r \\\\= 5t-\{7t-4r+3t-21+6r\}-4r \\\\= 5t-\{10t+2r-21\}-4r \\\\= 5t-10t-2r+21-4r \\\\= -5t-6r+21 .\end{array}
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