Solve for w -5w+12w+9=4w+42

$- 5 w + 12 w + 9 = 4 w + 42$

Add $- 5 w$ and $12 w$ .

$7 w + 9 = 4 w + 42$

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

Subtract $4 w$ from both sides of the equation.

$7 w + 9 - 4 w = 42$

Subtract $4 w$ from $7 w$ .

$3 w + 9 = 42$

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

Subtract $9$ from both sides of the equation.

$3 w = 42 - 9$

Subtract $9$ from $42$ .

$3 w = 33$

Divide each term in $3 w = 33$ by $3$ and simplify.

Divide each term in $3 w = 33$ by $3$ .

$\frac{3 w}{3} = \frac{33}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 w}{3} = \frac{33}{3}$

Divide $w$ by $1$ .

$w = \frac{33}{3}$

Simplify the right side.

Divide $33$ by $3$ .

$w = 11$