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: 27

Answer

$f = \frac{1}{6}$

Work Step by Step

Given the equation: $26 = 6(5 - 4f)$ We start by opening the brackets as shown below: $26 = 30 - 24f$ Next, we isolate the variable $f$ by subtracting $30$ from both sides as shown below: $26 - 30 = 30 - 24f - 30$ Simplify to get: $-4 = -24f$ Divide through by the coefficient of the variable $f$ as shown below: $\frac{-4}{-24} = \frac{-24}{-24}f$ Simplify to get: $\frac{1}{6} = f$ Rearranging it, we have: $f = \frac{1}{6}$
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