Solve for g 75-9g=5(-4+2g)

$75 - 9 g = 5 (- 4 + 2 g)$

Step 1

Simplify $5 (- 4 + 2 g)$ .

Rewrite.

$75 - 9 g = 0 + 0 + 5 (- 4 + 2 g)$

Simplify by adding zeros.

$75 - 9 g = 5 (- 4 + 2 g)$

Apply the distributive property.

$75 - 9 g = 5 \cdot - 4 + 5 (2 g)$

Multiply.

Multiply $5$ by $- 4$ .

$75 - 9 g = - 20 + 5 (2 g)$

Multiply $2$ by $5$ .

$75 - 9 g = - 20 + 10 g$

Step 2

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

Subtract $10 g$ from both sides of the equation.

$75 - 9 g - 10 g = - 20$

Subtract $10 g$ from $- 9 g$ .

$75 - 19 g = - 20$

Step 3

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

Subtract $75$ from both sides of the equation.

$- 19 g = - 20 - 75$

Subtract $75$ from $- 20$ .

$- 19 g = - 95$

Step 4

Divide each term in $- 19 g = - 95$ by $- 19$ and simplify.

Divide each term in $- 19 g = - 95$ by $- 19$ .

$\frac{- 19 g}{- 19} = \frac{- 95}{- 19}$

Simplify the left side.

Cancel the common factor of $- 19$ .

Cancel the common factor.

$\frac{- 19 g}{- 19} = \frac{- 95}{- 19}$

Divide $g$ by $1$ .

$g = \frac{- 95}{- 19}$

Simplify the right side.

Divide $- 95$ by $- 19$ .

$g = 5$