Math  /  Algebra

QuestionWhat is the solution to the equation 13=92n?-13=9-2 n ?

Studdy Solution

STEP 1

1. We are given the equation 13=92n-13 = 9 - 2n.
2. We need to solve for the variable nn.

STEP 2

1. Isolate the variable term.
2. Solve for the variable.

STEP 3

Isolate the variable term by eliminating the constant on the right side of the equation.
Subtract 99 from both sides of the equation:
139=992n-13 - 9 = 9 - 9 - 2n
Simplify both sides:
22=2n-22 = -2n

STEP 4

Solve for the variable nn.
Divide both sides by 2-2 to isolate nn:
n=222n = \frac{-22}{-2}
Simplify the division:
n=11n = 11
The solution to the equation is:
11 \boxed{11}

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