The first step is to get the variable on both sides, do this by subtracting m.
This leaves you with 2m/3 -1 -m = 3/4
Then multiply by 3 on both sides to eliminate the fraction.
This leaves you with 2m-3-3m = 9/4
Then isolate the variable by adding 3 to both sides.
This leaves you with 2m-3m = 3 9/4
This can simplify into -m = 5 1/4 or 21/4
Multiply by -1 to keep the variable positive
The final answer is m = -21/4 (or -5 1/4, your choice)