[tex]\frac{2m}{7} + \frac{3m}{14} = 1[/tex]
[tex]\frac{2m}{7}(\frac{2}{2}) + \frac{3m}{14} = 1[/tex]
[tex]\frac{4m}{14} + \frac{3m}{14} = 1[/tex]
[tex]\frac{7m}{14} = 1[/tex]
[tex]\frac{1}{2}m = 1[/tex]
[tex]2(\frac{1}{2}m) = 2(1)[/tex]
[tex]m = 2[/tex]
