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