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