Solve for m 11m=-(-22-9m)

$11 m = - (- 22 - 9 m)$

Step 1

Simplify $- (- 22 - 9 m)$ .

Apply the distributive property.

$11 m = - - 22 - (- 9 m)$

Multiply.

Multiply $- 1$ by $- 22$ .

$11 m = 22 - (- 9 m)$

Multiply $- 9$ by $- 1$ .

$11 m = 22 + 9 m$

Step 2

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

Subtract $9 m$ from both sides of the equation.

$11 m - 9 m = 22$

Subtract $9 m$ from $11 m$ .

$2 m = 22$

Step 3

Divide each term in $2 m = 22$ by $2$ and simplify.

Divide each term in $2 m = 22$ by $2$ .

$\frac{2 m}{2} = \frac{22}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 m}{2} = \frac{22}{2}$

Divide $m$ by $1$ .

$m = \frac{22}{2}$

Simplify the right side.

Divide $22$ by $2$ .

$m = 11$