Answer
$m=14$
Work Step by Step
Use the Multiplication Property of Equality by multiplying $\frac{7}{3}$ to both side of the equation:
$$\begin{align*}
\left(\frac{3}{7}m\right) \cdot \frac{7}{3}&=6 \cdot \frac{7}{3}\\
m&=\frac{42}{36}\\\
m&=14\end{align*}$$
Check the solution by substituting $14$ to the variable in the given equation:
$$\begin{align*}
\frac{3}{7}m&=6\\
\frac{3}{7}(14)&\stackrel{?}{=}6\\
\frac{42}{7}&\stackrel{?}{=}6\\
6&\stackrel{\checkmark}{=}6\end{align*}$$
Thus, the solution is $m=14$.
