To solve the equation \( 50.3(n + 9.25) = -120.72 \), let's first distribute \( 50.3 \) on the left side:
\[ 50.3n + 50.3 \times 9.25 = -120.72 \]
Calculating \( 50.3 \times 9.25 \):
\[ 50.3 \times 9.25 = 465.775 \]
So, the equation becomes:
\[ 50.3n + 465.775 = -120.72 \]
Next, we'll isolate \( 50.3n \) by subtracting \( 465.775 \) from both sides:
\[ 50.3n = -120.72 - 465.775 \]
Calculating the right side:
\[ -120.72 - 465.775 = -586.495 \]
Now we have:
\[ 50.3n = -586.495 \]
Next, we divide both sides by \( 50.3 \) to solve for \( n \):
\[ n = \frac{-586.495}{50.3} \]
Now, performing the division:
\[ n \approx -11.65 \]
Thus, the solution for \( n \) is:
\[ \boxed{-11.65} \]
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