Solve for m -7(m-9)-2m=12

$- 7 (m - 9) - 2 m = 12$

Simplify $- 7 (m - 9) - 2 m$ .

Simplify each term.

Apply the distributive property.

$- 7 m - 7 \cdot - 9 - 2 m = 12$

Multiply $- 7$ by $- 9$ .

$- 7 m + 63 - 2 m = 12$

Subtract $2 m$ from $- 7 m$ .

$- 9 m + 63 = 12$

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

Subtract $63$ from both sides of the equation.

$- 9 m = 12 - 63$

Subtract $63$ from $12$ .

$- 9 m = - 51$

Divide each term in $- 9 m = - 51$ by $- 9$ and simplify.

Divide each term in $- 9 m = - 51$ by $- 9$ .

$\frac{- 9 m}{- 9} = \frac{- 51}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 m}{- 9} = \frac{- 51}{- 9}$

Divide $m$ by $1$ .

$m = \frac{- 51}{- 9}$

Simplify the right side.

Cancel the common factor of $- 51$ and $- 9$ .

Factor $- 3$ out of $- 51$ .

$m = \frac{- 3 (17)}{- 9}$

Cancel the common factors.

Factor $- 3$ out of $- 9$ .

$m = \frac{- 3 \cdot 17}{- 3 \cdot 3}$

Cancel the common factor.

$m = \frac{- 3 \cdot 17}{- 3 \cdot 3}$

Rewrite the expression.

$m = \frac{17}{3}$

The result can be shown in multiple forms.

Exact Form:

$m = \frac{17}{3}$

Decimal Form:

$m = 5.\overline{6}$

Mixed Number Form:

$m = 5 \frac{2}{3}$