Solve for w 4u+8w=-3u+2w

$4 u + 8 w = - 3 u + 2 w$

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

Subtract $2 w$ from both sides of the equation.

$4 u + 8 w - 2 w = - 3 u$

Subtract $2 w$ from $8 w$ .

$4 u + 6 w = - 3 u$

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

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

$6 w = - 3 u - 4 u$

Subtract $4 u$ from $- 3 u$ .

$6 w = - 7 u$

Divide each term in $6 w = - 7 u$ by $6$ and simplify.

Divide each term in $6 w = - 7 u$ by $6$ .

$\frac{6 w}{6} = \frac{- 7 u}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 w}{6} = \frac{- 7 u}{6}$

Divide $w$ by $1$ .

$w = \frac{- 7 u}{6}$

Simplify the right side.

Move the negative in front of the fraction.

$w = - \frac{7 u}{6}$