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3n+7n=4
Multiply both sides of the equation by 14, the least common multiple of 14,2,7.
10n=4
Combine 3n and 7n to get 10n.
n=\frac{4}{10}
Divide both sides by 10.
n=\frac{2}{5}
Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.