Solve for w 6=-w/8

$6 = - \frac{w}{8}$

Step 1

Rewrite the equation as $- \frac{w}{8} = 6$ .

$- \frac{w}{8} = 6$

Step 2

Multiply both sides of the equation by $- 8$ .

$- 8 (- \frac{w}{8}) = - 8 \cdot 6$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 8 (- \frac{w}{8})$ .

Cancel the common factor of $8$ .

Move the leading negative in $- \frac{w}{8}$ into the numerator.

$- 8 \frac{- w}{8} = - 8 \cdot 6$

Factor $8$ out of $- 8$ .

$8 (- 1) \frac{- w}{8} = - 8 \cdot 6$

Cancel the common factor.

$8 \cdot - 1 \frac{- w}{8} = - 8 \cdot 6$

Rewrite the expression.

$- - w = - 8 \cdot 6$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 w = - 8 \cdot 6$

Multiply $w$ by $1$ .

$w = - 8 \cdot 6$

Simplify the right side.

Multiply $- 8$ by $6$ .

$w = - 48$