Solve for w -62=8w-12w-18

$- 62 = 8 w - 12 w - 18$

Rewrite the equation as $8 w - 12 w - 18 = - 62$ .

$8 w - 12 w - 18 = - 62$

Subtract $12 w$ from $8 w$ .

$- 4 w - 18 = - 62$

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

Add $18$ to both sides of the equation.

$- 4 w = - 62 + 18$

Add $- 62$ and $18$ .

$- 4 w = - 44$

Divide each term in $- 4 w = - 44$ by $- 4$ and simplify.

Divide each term in $- 4 w = - 44$ by $- 4$ .

$\frac{- 4 w}{- 4} = \frac{- 44}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 w}{- 4} = \frac{- 44}{- 4}$

Divide $w$ by $1$ .

$w = \frac{- 44}{- 4}$

Simplify the right side.

Divide $- 44$ by $- 4$ .

$w = 11$