m = - 13
Combine the fractions on the left side of the equation
The lowest common multiple of 4 and 3 is 12
[tex]\frac{3(m-3)+4(m+4)}{12}[/tex] = - 7 (multiply both sides by 12 )
3m - 9 + 4m + 16 = - 84
7m + 7 = -84 ( subtract 7 from both sides )
7m = - 91 ( divide both sides by 7 )
m = - 13
