Solve for s 0.8+s=9(0.2s+0.8)

$0.8 + s = 9 (0.2 s + 0.8)$

Simplify $9 (0.2 s + 0.8)$ .

Rewrite.

$0.8 + s = 0 + 0 + 9 (0.2 s + 0.8)$

Simplify by adding zeros.

$0.8 + s = 9 (0.2 s + 0.8)$

Apply the distributive property.

$0.8 + s = 9 (0.2 s) + 9 \cdot 0.8$

Multiply.

Multiply $0.2$ by $9$ .

$0.8 + s = 1.8 s + 9 \cdot 0.8$

Multiply $9$ by $0.8$ .

$0.8 + s = 1.8 s + 7.2$

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

Subtract $1.8 s$ from both sides of the equation.

$0.8 + s - 1.8 s = 7.2$

Subtract $1.8 s$ from $s$ .

$0.8 - 0.8 s = 7.2$

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

Subtract $0.8$ from both sides of the equation.

$- 0.8 s = 7.2 - 0.8$

Subtract $0.8$ from $7.2$ .

$- 0.8 s = 6.4$

Divide each term in $- 0.8 s = 6.4$ by $- 0.8$ and simplify.

Divide each term in $- 0.8 s = 6.4$ by $- 0.8$ .

$\frac{- 0.8 s}{- 0.8} = \frac{6.4}{- 0.8}$

Simplify the left side.

Cancel the common factor of $- 0.8$ .

Cancel the common factor.

$\frac{- 0.8 s}{- 0.8} = \frac{6.4}{- 0.8}$

Divide $s$ by $1$ .

$s = \frac{6.4}{- 0.8}$

Simplify the right side.

Divide $6.4$ by $- 0.8$ .

$s = - 8$