To solve the equation \( 50.3(n + 9.25) = -120.72 \), we will first divide both sides by \( 50.3 \):
\[ n + 9.25 = \frac{-120.72}{50.3} \]
Calculating \( \frac{-120.72}{50.3} \):
\[ \frac{-120.72}{50.3} \approx -2.395 \quad (\text{rounded to three decimal places}) \]
Now we have:
\[ n + 9.25 \approx -2.395 \]
Next, we subtract \( 9.25 \) from both sides:
\[ n \approx -2.395 - 9.25 \]
Calculating the right-hand side:
\[ n \approx -11.645 \]
Rounded to two decimal places, this is approximately \( -11.65 \).
Thus, the solution for \( n \) is:
\[ \boxed{-11.65} \]