Solve for n
n = \frac{33}{4} = 8\frac{1}{4} = 8.25
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9\left(n-7\right)=5\left(n-6\right)
Variable n cannot be equal to 6 since division by zero is not defined. Multiply both sides of the equation by 9\left(n-6\right), the least common multiple of n-6,9.
9n-63=5\left(n-6\right)
Use the distributive property to multiply 9 by n-7.
9n-63=5n-30
Use the distributive property to multiply 5 by n-6.
9n-63-5n=-30
Subtract 5n from both sides.
4n-63=-30
Combine 9n and -5n to get 4n.
4n=-30+63
Add 63 to both sides.
4n=33
Add -30 and 63 to get 33.
n=\frac{33}{4}
Divide both sides by 4.
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