Solve for n 12-1/9n=17

$12 - \frac{1}{9} n = 17$

Step 1

Combine $n$ and $\frac{1}{9}$ .

$12 - \frac{n}{9} = 17$

Step 2

Move all terms not containing $n$ to the right side of the equation.

Subtract $12$ from both sides of the equation.

$- \frac{n}{9} = 17 - 12$

Subtract $12$ from $17$ .

$- \frac{n}{9} = 5$

Step 3

Multiply both sides of the equation by $- 9$ .

$- 9 (- \frac{n}{9}) = - 9 \cdot 5$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 9 (- \frac{n}{9})$ .

Cancel the common factor of $9$ .

Move the leading negative in $- \frac{n}{9}$ into the numerator.

$- 9 \frac{- n}{9} = - 9 \cdot 5$

Factor $9$ out of $- 9$ .

$9 (- 1) \frac{- n}{9} = - 9 \cdot 5$

Cancel the common factor.

$9 \cdot - 1 \frac{- n}{9} = - 9 \cdot 5$

Rewrite the expression.

$- - n = - 9 \cdot 5$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 n = - 9 \cdot 5$

Multiply $n$ by $1$ .

$n = - 9 \cdot 5$

Simplify the right side.

Multiply $- 9$ by $5$ .

$n = - 45$