To solve for \( n \) in the equation \( 50.3(n + 9.25) = -120.72 \), follow these steps:
-
Distribute \( 50.3 \) on the left side: \[ 50.3n + 50.3 \times 9.25 = -120.72 \] Calculate \( 50.3 \times 9.25 \): \[ 50.3 \times 9.25 = 465.775 \] So the equation now looks like: \[ 50.3n + 465.775 = -120.72 \]
-
Subtract \( 465.775 \) from both sides: \[ 50.3n = -120.72 - 465.775 \] Calculate the right side: \[ -120.72 - 465.775 = -586.495 \] Now the equation is: \[ 50.3n = -586.495 \]
-
Divide both sides by \( 50.3 \) to isolate \( n \): \[ n = \frac{-586.495}{50.3} \] Calculate this division: \[ n \approx -11.6431 \]
Thus, the solution for \( n \) is approximately: \[ \boxed{-11.6431} \]