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: 87

Answer

$21t-r$

Work Step by Step

Using $a(b+c)=ab+ac$ or the Distributive Property and then combining like terms, the given expression, $ 9t-7r+2(3r+6t) $, simplifies to \begin{array}{l}\require{cancel} 9t-7r+2(3r)+2(6t) \\\\= 9t-7r+6r+12t \\\\= (9t+12t)+(-7r+6r) \\\\= 21t-r .\end{array}
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