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To solve the equation \( 50.3(n + 9.25) = -120.72 \), we will start by isolating \( n \).
1. Divide both sides by 50.3:
\[
n + 9.25 = \frac{-120.72}{50.3}
\]
Calculate the right side:
\[
n + 9.25 \approx -2.4
\]
2. Now, we'll subtract 9.25 from both sides to solve for \( n \):
\[
n = -2.4 - 9.25
\]
\[
n = -11.65
\]
Thus, the solution is \(-11.65\).
From the options provided, the correct answer is **negative 11.65**.