Solve for d 12-1/9d=17

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

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

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

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

Subtract $12$ from both sides of the equation.

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

Subtract $12$ from $17$ .

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

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

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

Simplify both sides of the equation.

Simplify the left side.

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

Cancel the common factor of $9$ .

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

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

Factor $9$ out of $- 9$ .

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

Cancel the common factor.

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

Rewrite the expression.

$- - d = - 9 \cdot 5$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 d = - 9 \cdot 5$

Multiply $d$ by $1$ .

$d = - 9 \cdot 5$

Simplify the right side.

Multiply $- 9$ by $5$ .

$d = - 45$