Answer
$b=-3$
Work Step by Step
The value of the variable that satisfies the given expression, $
b+(b+5)-2(b-5)=18+b
,$ is
\begin{array}{l}\require{cancel}
b+b+5-2b+10=18+b
\\\\
b+b-2b-b=18-5-10
\\\\
-b=3
\\\\
b=-3
.\end{array}
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter R - Elementary Algebra Review - R.2 Equations, Inequalities, and Problem Solving - R.2 Exercise Set - Page 947: 28
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