$\fraction{3 n + 6}{n - 4} = 2 $

Solve for n

n=-14

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3n+6=2\left(n-4\right)

Variable n cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by n-4.

3n+6=2n-8

Use the distributive property to multiply 2 by n-4.

3n+6-2n=-8

Subtract 2n from both sides.

n+6=-8

Combine 3n and -2n to get n.

n=-8-6

Subtract 6 from both sides.

n=-14

Subtract 6 from -8 to get -14.