The given inequality is expressed as
6m - 2(7 + 3m) > 5(2m - 3) - m
We would expand the brackets by multiplying the terms inside the bracket by the term outside it. It becomes
6m - 14 - 6m > 10m - 15 - m
Collecting like terms, it becomes
6m - 6m - 10m + m > - 15 + 14
- 9m > - 1
If we divide both sides of the inequality by - 9, the inequality symbol will be reversed because - 9 is negative. Thus, it becomes
m < - 1/- 9
m < 1/9