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6n=3\times 4+3n\times \frac{1}{3}
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3n, the least common multiple of n,3.
6n=12+3n\times \frac{1}{3}
Multiply 3 and 4 to get 12.
6n=12+n
Cancel out 3 and 3.
6n-n=12
Subtract n from both sides.
5n=12
Combine 6n and -n to get 5n.
n=\frac{12}{5}
Divide both sides by 5.