Solve for w 12+9(w+20)=-3w

$12 + 9 (w + 20) = - 3 w$

Simplify $12 + 9 (w + 20)$ .

Simplify each term.

Apply the distributive property.

$12 + 9 w + 9 \cdot 20 = - 3 w$

Multiply $9$ by $20$ .

$12 + 9 w + 180 = - 3 w$

Add $12$ and $180$ .

$9 w + 192 = - 3 w$

Move all terms containing $w$ to the left side of the equation.

Add $3 w$ to both sides of the equation.

$9 w + 192 + 3 w = 0$

Add $9 w$ and $3 w$ .

$12 w + 192 = 0$

Subtract $192$ from both sides of the equation.

$12 w = - 192$

Divide each term in $12 w = - 192$ by $12$ and simplify.

Divide each term in $12 w = - 192$ by $12$ .

$\frac{12 w}{12} = \frac{- 192}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 w}{12} = \frac{- 192}{12}$

Divide $w$ by $1$ .

$w = \frac{- 192}{12}$

Simplify the right side.

Divide $- 192$ by $12$ .

$w = - 16$