Let us solve this in stepwise.
Step 1: 6m3 + 4m2 + 7m – 3 – (3m3 + 4)
Step 2: 6m3 + 4m2 + 7m – 3 – 3m3 – 4
Step 3: 6m3 – 3m3 + 4m2 + 7m – 3 – 4 (rearranging like terms)
Step 4: (6 – 3)m3 + 4m2 + 7m – 7 (distributive law)
Thus, the required answer = 3m3 + 4m2 + 7m – 7