Solve for w -30w+49.5=-33.5w-48+13.5

$- 30 w + 49.5 = - 33.5 w - 48 + 13.5$

Step 1

Add $- 48$ and $13.5$ .

$- 30 w + 49.5 = - 33.5 w - 34.5$

Step 2

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

Add $33.5 w$ to both sides of the equation.

$- 30 w + 49.5 + 33.5 w = - 34.5$

Add $- 30 w$ and $33.5 w$ .

$3.5 w + 49.5 = - 34.5$

Step 3

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

Subtract $49.5$ from both sides of the equation.

$3.5 w = - 34.5 - 49.5$

Subtract $49.5$ from $- 34.5$ .

$3.5 w = - 84$

Step 4

Divide each term in $3.5 w = - 84$ by $3.5$ and simplify.

Divide each term in $3.5 w = - 84$ by $3.5$ .

$\frac{3.5 w}{3.5} = \frac{- 84}{3.5}$

Simplify the left side.

Cancel the common factor of $3.5$ .

Cancel the common factor.

$\frac{3.5 w}{3.5} = \frac{- 84}{3.5}$

Divide $w$ by $1$ .

$w = \frac{- 84}{3.5}$

Simplify the right side.

Divide $- 84$ by $3.5$ .

$w = - 24$