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9\left(n-7\right)=2\times 6
Multiply both sides of the equation by 18, the least common multiple of 2,9.
9n-63=2\times 6
Use the distributive property to multiply 9 by n-7.
9n-63=12
Multiply 2 and 6 to get 12.
9n=12+63
Add 63 to both sides.
9n=75
Add 12 and 63 to get 75.
n=\frac{75}{9}
Divide both sides by 9.
n=\frac{25}{3}
Reduce the fraction \frac{75}{9} to lowest terms by extracting and canceling out 3.