Solve for n

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

−11.65
negative 11.65

6.85
6.85

−2.4
negative 2.4

−6.85

1 answer

To solve for n in the equation 50.3(n+9.25) = -120.72, we can begin by simplifying the equation:

50.3(n+9.25) = -120.72

Distribute 50.3 to both terms inside the parentheses:

50.3n + 50.3(9.25) = -120.72

Multiply 50.3 by 9.25:

50.3n + 461.275 = -120.72

Next, we can isolate the variable by subtracting 461.275 from both sides:

50.3n = -120.72 - 461.275

Simplify:

50.3n = -581.995

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

n = -581.995/50.3

n ≈ -11.56

Therefore, the value of n is approximately -11.56.