Answer
The solutions are $q=22$ and $q=-6$.
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow |q-8|=14$
Write related linear equations.
$\Rightarrow q-8=14$ or $q-8=-14$
Add $8$ to each side.
$\Rightarrow q-8+8=14+8$ or $q-8+8=-14+8$
Simplify.
$\Rightarrow q=22$ or $q=-6$
The solutions are $q=22$ and $q=-6$.
