Solve for w -(w+5)=-14

$- (w + 5) = - 14$

Step 1

Simplify $- (w + 5)$ .

Apply the distributive property.

$- w - 1 \cdot 5 = - 14$

Multiply $- 1$ by $5$ .

$- w - 5 = - 14$

Step 2

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

Add $5$ to both sides of the equation.

$- w = - 14 + 5$

Add $- 14$ and $5$ .

$- w = - 9$

Step 3

Divide each term in $- w = - 9$ by $- 1$ and simplify.

Divide each term in $- w = - 9$ by $- 1$ .

$\frac{- w}{- 1} = \frac{- 9}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{w}{1} = \frac{- 9}{- 1}$

Divide $w$ by $1$ .

$w = \frac{- 9}{- 1}$

Simplify the right side.

Divide $- 9$ by $- 1$ .

$w = 9$