Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Practice and Problem-Solving Exercises - Page 98: 24

Answer

$c = 2$

Work Step by Step

Given the equation: $2(8 + 4c) = 32$ We start by opening the brackets as shown below: $16 + 8c = 32$ Isolate the variable $c$ by subtracting $16$ from both sides as shown below: $16 + 8c - 16 = 32 - 16$ Simplifying, we have: $8c = 16$ Divide through by the coefficient of $c$ as shown below: $\frac{8}{8}c = \frac{16}{8}$ Simplify to get: $c = 2$ Therefore, the equation has a possible solution at the point $c = 2$
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