Solve for w 8-5(-10w-8)=-2(-8w-7)

$8 - 5 (- 10 w - 8) = - 2 (- 8 w - 7)$

Simplify $8 - 5 (- 10 w - 8)$ .

Simplify each term.

Apply the distributive property.

$8 - 5 (- 10 w) - 5 \cdot - 8 = - 2 (- 8 w - 7)$

Multiply $- 10$ by $- 5$ .

$8 + 50 w - 5 \cdot - 8 = - 2 (- 8 w - 7)$

Multiply $- 5$ by $- 8$ .

$8 + 50 w + 40 = - 2 (- 8 w - 7)$

Add $8$ and $40$ .

$50 w + 48 = - 2 (- 8 w - 7)$

Simplify $- 2 (- 8 w - 7)$ .

Apply the distributive property.

$50 w + 48 = - 2 (- 8 w) - 2 \cdot - 7$

Multiply.

Multiply $- 8$ by $- 2$ .

$50 w + 48 = 16 w - 2 \cdot - 7$

Multiply $- 2$ by $- 7$ .

$50 w + 48 = 16 w + 14$

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

Subtract $16 w$ from both sides of the equation.

$50 w + 48 - 16 w = 14$

Subtract $16 w$ from $50 w$ .

$34 w + 48 = 14$

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

Subtract $48$ from both sides of the equation.

$34 w = 14 - 48$

Subtract $48$ from $14$ .

$34 w = - 34$

Divide each term in $34 w = - 34$ by $34$ and simplify.

Divide each term in $34 w = - 34$ by $34$ .

$\frac{34 w}{34} = \frac{- 34}{34}$

Simplify the left side.

Cancel the common factor of $34$ .

Cancel the common factor.

$\frac{34 w}{34} = \frac{- 34}{34}$

Divide $w$ by $1$ .

$w = \frac{- 34}{34}$

Simplify the right side.

Divide $- 34$ by $34$ .

$w = - 1$