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: 29

Answer

$r=9.75$

Work Step by Step

Given the equation: $-4(r + 6) = -63$ We start by opening up the brackets as shown below: $-4r - 24 = -63$ Isolate the variable $r$ by adding $24$ to both sides of the equation as shown below: $-4r - 24 + 24 = -63 + 24$ Simplify to get: $-4r = -39$ Divide through by the coefficient of the variable $r$ as shown below: $\frac{-4}{-4}r = \frac{-39}{-4}$ $r = 9\frac{3}{4}$ which can also be written as $r = 9.75$
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