Substitute the value of m=3 in 3m−14=4
LHS=3×3−14=9−14=−5
RHS=4
On comparing LHS and RHS, we get LHS ≠ RHS
Next, substitute the value of m=4 in 3m−14=4
LHS=3×4−14=12−14=−2
RHS =4
On comparing LHS and RHS, we get LHS ≠ RHS
Next, substitute the value of m=5 in 3m−14=4
LHS=3×5−14=15−14=1
RHS =4
On comparing LHS and RHS, we get LHS ≠ RHS
Next, substitute the value of m=6 in 3m−14=4
LHS=3×6−14=18−14=4
RHS=4
On comparing LHS and RHS, we get LHS = RHS
∴m=6 is the solution of the given equation.