1/2-3m/4 +7=4m- 9- m/28

2 answers

1/2 - 3m/4 + 7 = 4m -9 - m/28

Let's get all of the m's on one side and all of the constants on the other.

1/2 + 7 + 9 =4m - m/28 + 3m/4

1/2 + 14/2+18/2 = 28(4m)/28 - m/28 +21m/28

33/2 =

combine the m terms and then solve for m by cross multiplying.
I don't like fractions, so multiply each term by 28 , the LCD

14 - 21m + 196 = 112m - 252 - m
-132m = -462
m = 462/132 = 7/2