Solve for w 0.4(8-0.2w)=-4

$0.4 (8 - 0.2 w) = - 4$

Step 1

Divide each term in $0.4 (8 - 0.2 w) = - 4$ by $0.4$ and simplify.

Divide each term in $0.4 (8 - 0.2 w) = - 4$ by $0.4$ .

$\frac{0.4 (8 - 0.2 w)}{0.4} = \frac{- 4}{0.4}$

Simplify the left side.

Cancel the common factor of $0.4$ .

Cancel the common factor.

$\frac{0.4 (8 - 0.2 w)}{0.4} = \frac{- 4}{0.4}$

Divide $8 - 0.2 w$ by $1$ .

$8 - 0.2 w = \frac{- 4}{0.4}$

Simplify the right side.

Divide $- 4$ by $0.4$ .

$8 - 0.2 w = - 10$

Step 2

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

Subtract $8$ from both sides of the equation.

$- 0.2 w = - 10 - 8$

Subtract $8$ from $- 10$ .

$- 0.2 w = - 18$

Step 3

Divide each term in $- 0.2 w = - 18$ by $- 0.2$ and simplify.

Divide each term in $- 0.2 w = - 18$ by $- 0.2$ .

$\frac{- 0.2 w}{- 0.2} = \frac{- 18}{- 0.2}$

Simplify the left side.

Cancel the common factor of $- 0.2$ .

Cancel the common factor.

$\frac{- 0.2 w}{- 0.2} = \frac{- 18}{- 0.2}$

Divide $w$ by $1$ .

$w = \frac{- 18}{- 0.2}$

Simplify the right side.

Divide $- 18$ by $- 0.2$ .

$w = 90$