Solve for w w/-4+17=9

$\frac{w}{- 4} + 17 = 9$

Step 1

Move the negative in front of the fraction.

$- \frac{w}{4} + 17 = 9$

Step 2

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

Subtract $17$ from both sides of the equation.

$- \frac{w}{4} = 9 - 17$

Subtract $17$ from $9$ .

$- \frac{w}{4} = - 8$

Step 3

Multiply both sides of the equation by $- 4$ .

$- 4 (- \frac{w}{4}) = - 4 \cdot - 8$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 4 (- \frac{w}{4})$ .

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{w}{4}$ into the numerator.

$- 4 \frac{- w}{4} = - 4 \cdot - 8$

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{- w}{4} = - 4 \cdot - 8$

Cancel the common factor.

$4 \cdot - 1 \frac{- w}{4} = - 4 \cdot - 8$

Rewrite the expression.

$- - w = - 4 \cdot - 8$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 w = - 4 \cdot - 8$

Multiply $w$ by $1$ .

$w = - 4 \cdot - 8$

Simplify the right side.

Multiply $- 4$ by $- 8$ .

$w = 32$