Solve for m -6m=-9(2m-4)

$- 6 m = - 9 (2 m - 4)$

Simplify $- 9 (2 m - 4)$ .

Apply the distributive property.

$- 6 m = - 9 (2 m) - 9 \cdot - 4$

Multiply.

Multiply $2$ by $- 9$ .

$- 6 m = - 18 m - 9 \cdot - 4$

Multiply $- 9$ by $- 4$ .

$- 6 m = - 18 m + 36$

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

Add $18 m$ to both sides of the equation.

$- 6 m + 18 m = 36$

Add $- 6 m$ and $18 m$ .

$12 m = 36$

Divide each term in $12 m = 36$ by $12$ and simplify.

Divide each term in $12 m = 36$ by $12$ .

$\frac{12 m}{12} = \frac{36}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 m}{12} = \frac{36}{12}$

Divide $m$ by $1$ .

$m = \frac{36}{12}$

Simplify the right side.

Divide $36$ by $12$ .

$m = 3$