Solve for g 9+3.5g=11-0.5g

$9 + 3.5 g = 11 - 0.5 g$

Step 1

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

Add $0.5 g$ to both sides of the equation.

$9 + 3.5 g + 0.5 g = 11$

Add $3.5 g$ and $0.5 g$ .

$9 + 4 g = 11$

Step 2

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

Subtract $9$ from both sides of the equation.

$4 g = 11 - 9$

Subtract $9$ from $11$ .

$4 g = 2$

Step 3

Divide each term in $4 g = 2$ by $4$ and simplify.

Divide each term in $4 g = 2$ by $4$ .

$\frac{4 g}{4} = \frac{2}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 g}{4} = \frac{2}{4}$

Divide $g$ by $1$ .

$g = \frac{2}{4}$

Simplify the right side.

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

$g = \frac{2 (1)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$g = \frac{2 \cdot 1}{2 \cdot 2}$

Cancel the common factor.

$g = \frac{2 \cdot 1}{2 \cdot 2}$

Rewrite the expression.

$g = \frac{1}{2}$

Divide $1$ by $2$ .

$g = 0.5$