Solve for w -4(3w+10)=9-6w+w

$- 4 (3 w + 10) = 9 - 6 w + w$

Since $w$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$9 - 6 w + w = - 4 (3 w + 10)$

Add $- 6 w$ and $w$ .

$9 - 5 w = - 4 (3 w + 10)$

Simplify $- 4 (3 w + 10)$ .

Apply the distributive property.

$9 - 5 w = - 4 (3 w) - 4 \cdot 10$

Multiply.

Multiply $3$ by $- 4$ .

$9 - 5 w = - 12 w - 4 \cdot 10$

Multiply $- 4$ by $10$ .

$9 - 5 w = - 12 w - 40$

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

Add $12 w$ to both sides of the equation.

$9 - 5 w + 12 w = - 40$

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

$9 + 7 w = - 40$

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

Subtract $9$ from both sides of the equation.

$7 w = - 40 - 9$

Subtract $9$ from $- 40$ .

$7 w = - 49$

Divide each term in $7 w = - 49$ by $7$ and simplify.

Divide each term in $7 w = - 49$ by $7$ .

$\frac{7 w}{7} = \frac{- 49}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 w}{7} = \frac{- 49}{7}$

Divide $w$ by $1$ .

$w = \frac{- 49}{7}$

Simplify the right side.

Divide $- 49$ by $7$ .

$w = - 7$