Solve for n 14n+6p-8n=18p

$14 n + 6 p - 8 n = 18 p$

Subtract $8 n$ from $14 n$ .

$6 n + 6 p = 18 p$

Move all terms not containing $n$ to the right side of the equation.

Subtract $6 p$ from both sides of the equation.

$6 n = 18 p - 6 p$

Subtract $6 p$ from $18 p$ .

$6 n = 12 p$

Divide each term in $6 n = 12 p$ by $6$ and simplify.

Divide each term in $6 n = 12 p$ by $6$ .

$\frac{6 n}{6} = \frac{12 p}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 n}{6} = \frac{12 p}{6}$

Divide $n$ by $1$ .

$n = \frac{12 p}{6}$

Simplify the right side.

Cancel the common factor of $12$ and $6$ .

Factor $6$ out of $12 p$ .

$n = \frac{6 (2 p)}{6}$

Cancel the common factors.

Factor $6$ out of $6$ .

$n = \frac{6 (2 p)}{6 (1)}$

Cancel the common factor.

$n = \frac{6 (2 p)}{6 \cdot 1}$

Rewrite the expression.

$n = \frac{2 p}{1}$

Divide $2 p$ by $1$ .

$n = 2 p$