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Solve for n

in the equation 50.3(n+9.25)=−120.72
.(1 point)
Responses

−11.65
negative 11.65

−2.4
negative 2.4

−6.85
negative 6.85

6.85

1 answer

To solve the equation \( 50.3(n + 9.25) = -120.72 \), we can follow these steps:

  1. Distribute \( 50.3 \): \[ 50.3n + 50.3 \cdot 9.25 = -120.72 \]

    Calculating \( 50.3 \cdot 9.25 \): \[ 50.3 \cdot 9.25 = 465.775 \]

    So, the equation becomes: \[ 50.3n + 465.775 = -120.72 \]

  2. Isolate \( 50.3n \) by subtracting \( 465.775 \) from both sides: \[ 50.3n = -120.72 - 465.775 \]

    Calculating the right side: \[ -120.72 - 465.775 = -586.495 \]

    So we have: \[ 50.3n = -586.495 \]

  3. Solve for \( n \) by dividing both sides by \( 50.3 \): \[ n = \frac{-586.495}{50.3} \]

    Calculating that gives: \[ n \approx -11.65 \]

Thus, the solution for \( n \) is:

\[ \boxed{-11.65} \]