To solve the equation \(-3 = \frac{k - 5}{16}\), we can start by eliminating the fraction by multiplying both sides by 16:
\[ -3 \times 16 = k - 5 \]
Calculating the left side:
\[ -48 = k - 5 \]
Next, we can isolate \(k\) by adding 5 to both sides:
\[ -48 + 5 = k \]
This simplifies to:
\[ k = -43 \]
Thus, the solution is:
\[ \boxed{-43} \]