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n\times \frac{1\times 4+3}{4}=2\times 6
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2n, the least common multiple of 2,n.
n\times \frac{4+3}{4}=2\times 6
Multiply 1 and 4 to get 4.
n\times \frac{7}{4}=2\times 6
Add 4 and 3 to get 7.
n\times \frac{7}{4}=12
Multiply 2 and 6 to get 12.
n=12\times \frac{4}{7}
Multiply both sides by \frac{4}{7}, the reciprocal of \frac{7}{4}.
n=\frac{12\times 4}{7}
Express 12\times \frac{4}{7} as a single fraction.
n=\frac{48}{7}
Multiply 12 and 4 to get 48.