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

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

Work Step by Step

We start with the given equation: $26=6(5-4f)$ We use the distributive property to expand the right side of the equation: $26=30-24f$ Next, we subtract $30$ on each side to isolate the $f$ term: $26-30=30-30-24f$ We combine like terms on each side of the equation: $-4=-24f$ We divide by $-4$ on each side of the equation: $f=\frac{-4}{-24}$ Finally, we divide the result by $\frac{-4}{-4}$ to simplify: $\frac{-4}{-24}\div\frac{-4}{-4}=\frac{1}{6}=f$
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