Solve for w -5(5w-19)=-19w-19

$- 5 (5 w - 19) = - 19 w - 19$

Simplify $- 5 (5 w - 19)$ .

Rewrite.

$0 + 0 - 5 (5 w - 19) = - 19 w - 19$

Simplify by adding zeros.

$- 5 (5 w - 19) = - 19 w - 19$

Apply the distributive property.

$- 5 (5 w) - 5 \cdot - 19 = - 19 w - 19$

Multiply.

Multiply $5$ by $- 5$ .

$- 25 w - 5 \cdot - 19 = - 19 w - 19$

Multiply $- 5$ by $- 19$ .

$- 25 w + 95 = - 19 w - 19$

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

Add $19 w$ to both sides of the equation.

$- 25 w + 95 + 19 w = - 19$

Add $- 25 w$ and $19 w$ .

$- 6 w + 95 = - 19$

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

Subtract $95$ from both sides of the equation.

$- 6 w = - 19 - 95$

Subtract $95$ from $- 19$ .

$- 6 w = - 114$

Divide each term in $- 6 w = - 114$ by $- 6$ and simplify.

Divide each term in $- 6 w = - 114$ by $- 6$ .

$\frac{- 6 w}{- 6} = \frac{- 114}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 w}{- 6} = \frac{- 114}{- 6}$

Divide $w$ by $1$ .

$w = \frac{- 114}{- 6}$

Simplify the right side.

Divide $- 114$ by $- 6$ .

$w = 19$