Solve for n in the equation 50.3(n+9.25)=−120.72 .

Answer 1

To solve for \( n \) in the equation

\[ 50.3(n + 9.25) = -120.72, \]

we can start by isolating the term involving \( n \). First, divide both sides of the equation by \( 50.3 \):

\[ n + 9.25 = \frac{-120.72}{50.3}. \]

Calculating the right side:

\[ \frac{-120.72}{50.3} \approx -2.3972261. \]

Now we can set this result equal to our equation:

\[ n + 9.25 \approx -2.3972261. \]

Next, we'll isolate \( n \) by subtracting \( 9.25 \) from both sides:

\[ n \approx -2.3972261 - 9.25. \]

Calculating that gives us:

\[ n \approx -11.6472261. \]

Thus, rounding to four decimal places, we have:

\[ n \approx -11.6472. \]

So the solution to the equation is:

\[ \boxed{-11.6472}. \]