Solve for w -(1/4w+8)+8=3

$- (\frac{1}{4} w + 8) + 8 = 3$

Step 1

Simplify $- (\frac{1}{4} w + 8) + 8$ .

Simplify each term.

Combine $\frac{1}{4}$ and $w$ .

$- (\frac{w}{4} + 8) + 8 = 3$

Apply the distributive property.

$- \frac{w}{4} - 1 \cdot 8 + 8 = 3$

Multiply $- 1$ by $8$ .

$- \frac{w}{4} - 8 + 8 = 3$

Combine the opposite terms in $- \frac{w}{4} - 8 + 8$ .

Add $- 8$ and $8$ .

$- \frac{w}{4} + 0 = 3$

Add $- \frac{w}{4}$ and $0$ .

$- \frac{w}{4} = 3$

Step 2

Multiply both sides of the equation by $- 4$ .

$- 4 (- \frac{w}{4}) = - 4 \cdot 3$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 4 (- \frac{w}{4})$ .

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{w}{4}$ into the numerator.

$- 4 \frac{- w}{4} = - 4 \cdot 3$

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{- w}{4} = - 4 \cdot 3$

Cancel the common factor.

$4 \cdot - 1 \frac{- w}{4} = - 4 \cdot 3$

Rewrite the expression.

$- - w = - 4 \cdot 3$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 w = - 4 \cdot 3$

Multiply $w$ by $1$ .

$w = - 4 \cdot 3$

Simplify the right side.

Multiply $- 4$ by $3$ .

$w = - 12$