Answer
$z=3$
Work Step by Step
$$\begin{align*}
\frac{4(z+5)}{4}&=\frac{32}{4} &\text{Divide 4 to both sides..}\\
z+5&=8 &\text{Simplify.}\\
z+5-5&=8-5 &\text{Subtract 5 from each side.}\\
z&=3&\text{Simplify.}
\end{align*}$$
Check the answer by substituting $3$ to the variable in the given equation.
$$\begin{align*}
4(z+5)&=32\\
4(3+5)&\stackrel{?}{=}32\\
4(8)&\stackrel{?}{=}32\\
32&\stackrel{\checkmark}{=}32
\end{align*}$$
Thus, the solution is $z=3$.
