Solve for w -4+w+17-2/3w=16

$- 4 + w + 17 - \frac{2}{3} w = 16$

Simplify $- 4 + w + 17 - \frac{2}{3} w$ .

Simplify each term.

Combine $w$ and $\frac{2}{3}$ .

$- 4 + w + 17 - \frac{w \cdot 2}{3} = 16$

Move $2$ to the left of $w$ .

$- 4 + w + 17 - \frac{2 w}{3} = 16$

Add $- 4$ and $17$ .

$w + 13 - \frac{2 w}{3} = 16$

To write $w$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$w \cdot \frac{3}{3} - \frac{2 w}{3} + 13 = 16$

Combine $w$ and $\frac{3}{3}$ .

$\frac{w \cdot 3}{3} - \frac{2 w}{3} + 13 = 16$

Combine the numerators over the common denominator.

$\frac{w \cdot 3 - 2 w}{3} + 13 = 16$

Subtract $2 w$ from $w \cdot 3$ .

Reorder $w$ and $3$ .

$\frac{3 \cdot w - 2 w}{3} + 13 = 16$

Subtract $2 w$ from $3 \cdot w$ .

$\frac{w}{3} + 13 = 16$

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

Subtract $13$ from both sides of the equation.

$\frac{w}{3} = 16 - 13$

Subtract $13$ from $16$ .

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

Multiply both sides of the equation by $3$ .

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

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

$w = 3 \cdot 3$

Simplify the right side.

Multiply $3$ by $3$ .

$w = 9$