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8n=7\times \frac{2}{11}
Multiply both sides of the equation by 56, the least common multiple of 7,8.
8n=\frac{7\times 2}{11}
Express 7\times \frac{2}{11} as a single fraction.
8n=\frac{14}{11}
Multiply 7 and 2 to get 14.
n=\frac{\frac{14}{11}}{8}
Divide both sides by 8.
n=\frac{14}{11\times 8}
Express \frac{\frac{14}{11}}{8} as a single fraction.
n=\frac{14}{88}
Multiply 11 and 8 to get 88.
n=\frac{7}{44}
Reduce the fraction \frac{14}{88} to lowest terms by extracting and canceling out 2.