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Solve for n

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

−2.4
negative 2.4

−11.65
negative 11.65

−6.85
negative 6.85

6.85

1 answer

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

  1. Distribute the \( 50.3 \) 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 becomes:

    \[ 50.3n + 465.775 = -120.72 \]

  2. Isolate the \( n \) term by subtracting \( 465.775 \) from both sides:

    \[ 50.3n = -120.72 - 465.775 \]

    Calculate the right side:

    \[ -120.72 - 465.775 = -586.495 \]

    Now the equation is:

    \[ 50.3n = -586.495 \]

  3. Solve for \( n \) by dividing both sides by \( 50.3 \):

    \[ n = \frac{-586.495}{50.3} \]

    Calculate the division:

    \[ n \approx -11.65 \]

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

\[ \boxed{-11.65} \]