To solve the equation \( 50.3 ( n + 9.25 ) = -120.72 \), we start by isolating \( n \).
- First, divide both sides by 50.3:
\[ n + 9.25 = \frac{-120.72}{50.3} \]
Calculating the right side:
\[ \frac{-120.72}{50.3} \approx -2.396 \]
So, we have:
\[ n + 9.25 \approx -2.396 \]
- Next, subtract 9.25 from both sides to solve for \( n \):
\[ n \approx -2.396 - 9.25 \]
Calculating the right side:
\[ -2.396 - 9.25 = -11.646 \]
Thus, we find:
\[ n \approx -11.65 \]
So the solution for \( n \) is:
\[ \boxed{-11.65} \]