To solve the equation \(-8 = \frac{n + 81}{-5}\), you can start by eliminating the fraction. Multiply both sides of the equation by \(-5\):
\[ -8 \times -5 = n + 81 \]
This simplifies to:
\[ 40 = n + 81 \]
Next, isolate \(n\) by subtracting 81 from both sides:
\[ 40 - 81 = n \]
This simplifies to:
\[ n = -41 \]
So the solution is:
\[ n = -41 \]