# How do you solve -10 = 9m -13 -7m?

May 31, 2016

$m = \frac{3}{2} = 1.5$

#### Explanation:

$- 10 = 9 m - 13 - 7 m$

$- 10 = 9 m - 7 m - 13$

$- 10 = 2 m - 13$

Now add $13$ to both sides:

$- 10 \textcolor{red}{+ 13} = 2 m - 13 \textcolor{red}{+ 13}$

$- 10 + 13 = 2 m \cancel{- 13} \cancel{+ 13}$

$3 = 2 m$

Divide both sides by $2$:

$\frac{3}{\textcolor{red}{2}} = \frac{2 m}{\textcolor{red}{2}}$

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

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

$1.5 = m$