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n-6=3\left(n-8\right)
Multiply both sides of the equation by 6, the least common multiple of 6,2.
n-6=3n-24
Use the distributive property to multiply 3 by n-8.
n-6-3n=-24
Subtract 3n from both sides.
-2n-6=-24
Combine n and -3n to get -2n.
-2n=-24+6
Add 6 to both sides.
-2n=-18
Add -24 and 6 to get -18.
n=\frac{-18}{-2}
Divide both sides by -2.
n=9
Divide -18 by -2 to get 9.