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: 84

Answer

$23n+7$

Work Step by Step

Using $a(b+c)=ab+ac$ or the Distributive Property and then combining like terms, the given expression, $ 8n+3(5n+2)+1 $, simplifies to \begin{array}{l}\require{cancel} 8n+3(5n)+3(2)+1 \\\\= 8n+15n+6+1 \\\\= (8n+15n)+(6+1) \\\\= 23n+7 .\end{array}
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