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

Responses

−2.4
negative 2.4

6.85
6.85

−11.65
negative 11.65

−6.85
negative 6.85

1 answer

To solve for n in the equation 50.3(n+9.25) = -120.72, we can start by distributing 50.3 to both terms inside the parentheses:

50.3n + 50.3(9.25) = -120.72

Next, we can simplify the equation by multiplying:

50.3n + 464.775 = -120.72

Now we can isolate the variable n by subtracting 464.775 from both sides:

50.3n = -120.72 - 464.775

50.3n = -585.495

Finally, we can solve for n by dividing both sides by 50.3:

n = -585.495 / 50.3

n ≈ -11.65

Therefore, the value of n in the equation is approximately -11.65.