Solve for w 39-12w=7-16w

$39 - 12 w = 7 - 16 w$

Step 1

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

Add $16 w$ to both sides of the equation.

$39 - 12 w + 16 w = 7$

Add $- 12 w$ and $16 w$ .

$39 + 4 w = 7$

Step 2

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

Subtract $39$ from both sides of the equation.

$4 w = 7 - 39$

Subtract $39$ from $7$ .

$4 w = - 32$

Step 3

Divide each term in $4 w = - 32$ by $4$ and simplify.

Divide each term in $4 w = - 32$ by $4$ .

$\frac{4 w}{4} = \frac{- 32}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 w}{4} = \frac{- 32}{4}$

Divide $w$ by $1$ .

$w = \frac{- 32}{4}$

Simplify the right side.

Divide $- 32$ by $4$ .

$w = - 8$