Type a math problem

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Type a math problem

Solve for n

n=-14

$n=−14$

Steps for Solving Linear Equation

\frac{3n+6}{n-4}=2

$n−43n+6 =2$

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

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=2\left(n-4\right)

$3n+6=2(n−4)$

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

Use the distributive property to multiply $2$ by $n−4$.

3n+6=2n-8

$3n+6=2n−8$

Subtract 2n from both sides.

Subtract $2n$ from both sides.

3n+6-2n=-8

$3n+6−2n=−8$

Combine 3n and -2n to get n.

Combine $3n$ and $−2n$ to get $n$.

n+6=-8

$n+6=−8$

Subtract 6 from both sides.

Subtract $6$ from both sides.

n=-8-6

$n=−8−6$

Subtract 6 from -8 to get -14.

Subtract $6$ from $−8$ to get $−14$.

n=-14

$n=−14$

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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.

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