#### Answer

$k = 29$

#### Work Step by Step

$\frac{1}{4}(k - 1) = 7$ --> Original
$\frac{1}{4}k -\frac{1}{4} = 7$ --> Distribute the $\frac{1}{4}$ to the terms inside the parenthesis
$\frac{1}{4}k = 7\frac{1}{4}$ --> Add $\frac{1}{4}$ to each side
$k = 29$ --> Multiply each side by 4