In order to find the value of m in this equation, we just need to divide both sides of the equation by 7.
So we have that:
[tex]\begin{gathered} 7m=105 \\ \frac{7m}{7}=\frac{105}{7} \\ m=\frac{105}{7} \\ m=15 \end{gathered}[/tex]So the value of m that makes the equation true is m = 15.