Given the linear equation:
-(7/5)*m+6+(19/10) = (-8+(19/10))-(9/5)*m
Expand brackets in the left part
-7/5m+6+19/10 = (-8+(19/10))-(9/5)*m
Expand brackets in the right part
-7/5m+6+19/10 = -8+19/10)-9/5m
Looking for similar summands in the left part:
79/10 - 7*m/5 = -8+19/10)-9/5m
Move free summands (without m)
from left part to right part, we given:
$$- \frac{7 m}{5} = - \frac{9 m}{5} - 14$$
Move the summands with the unknown m
from the right part to the left part:
$$\frac{2 m}{5} = -14$$
Divide both parts of the equation by 2/5
m = -14 / (2/5)
We get the answer: m = -35