The equation is given as:
\[
\frac{a + 16}{4} = -2
\]
To eliminate the denominator, multiply both sides of the equation by 4:
\[
4 \cdot \frac{a + 16}{4} = -2 \cdot 4
\]
Step 2: Simplify the equation
After multiplying, the equation simplifies to:
\[
a + 16 = -8
\]
Step 3: Solve for \(a\)
Subtract 16 from both sides to isolate \(a\):
\[
a + 16 - 16 = -8 - 16
\]
\[
a = -24
\]