-7 1/2m+2 2/3m+1/6m=1 3/4•(-2 1/3)+4 1/5•2 5/6

-7 1/2m + 2 2/3m + 1/6m = 1 3/4*(-2 1/3) + 4 1/5*2 5/6

-7 1/2m + 2 2/3m + 1/6m = -17/12 + 41/5

Multiplying both sides by 30 to get rid of fractions:

-30(7 1/2m) + 30(2 2/3m) + 30(1/6m) = -30(17/12) + 30(41/5)

-225m + 80m + 5m = -425 + 246

-140m = -179

m = 179/140