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Question:

Solve the following equation and check your results: 3m = 5m

Solution:

Transpose 5m to LHS, ⟹ 3m - 5m = 0 ⇒ -2m = 0 Dividing both sides by -2 ⟹ m = 0/(-2) ⇒ m = 0 LHS = 3m = 3 × 0 = 0 RHS = 5m = (5 × 0) = 0 LHS = RHS Hence proved