Solve for m -2.4(m-2/3)=-9

$- 2.4 (m - \frac{2}{3}) = - 9$

Divide each term in $- 2.4 (m - \frac{2}{3}) = - 9$ by $- 2.4$ and simplify.

Divide each term in $- 2.4 (m - \frac{2}{3}) = - 9$ by $- 2.4$ .

$\frac{- 2.4 (m - \frac{2}{3})}{- 2.4} = \frac{- 9}{- 2.4}$

Simplify the left side.

Cancel the common factor of $- 2.4$ .

Cancel the common factor.

$\frac{- 2.4 (m - \frac{2}{3})}{- 2.4} = \frac{- 9}{- 2.4}$

Divide $m - \frac{2}{3}$ by $1$ .

$m - \frac{2}{3} = \frac{- 9}{- 2.4}$

Simplify the right side.

Divide $- 9$ by $- 2.4$ .

$m - \frac{2}{3} = 3.75$

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

Add $\frac{2}{3}$ to both sides of the equation.

$m = 3.75 + \frac{2}{3}$

To write $3.75$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$m = 3.75 \cdot \frac{3}{3} + \frac{2}{3}$

Combine $3.75$ and $\frac{3}{3}$ .

$m = \frac{3.75 \cdot 3}{3} + \frac{2}{3}$

Combine the numerators over the common denominator.

$m = \frac{3.75 \cdot 3 + 2}{3}$

Simplify the numerator.

Multiply $3.75$ by $3$ .

$m = \frac{11.25 + 2}{3}$

Add $11.25$ and $2$ .

$m = \frac{13.25}{3}$

Divide $13.25$ by $3$ .

$m = 4.41\overline{6}$