No, it's not right. When you divide 7/3 by 2 you should get 7/6, not 3.5/1.5, which is equal to 7/3.
BTW, You really ought to learn which is left and which is right...
Also, in your second equation, the right side should have parentheses:
2m - t = (2t + 7)/3
In the following line you added parenthese, but they are not where you need them. This equation should be written like so:
2m = (2t + 7)/3 +t
Finally, the expression you have for m, besides being incorrect, should be written more simply, with the t terms combined.