Solve for n 3+8n-n=-18

$3 + 8 n - n = - 18$

Subtract $n$ from $8 n$ .

$3 + 7 n = - 18$

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

Subtract $3$ from both sides of the equation.

$7 n = - 18 - 3$

Subtract $3$ from $- 18$ .

$7 n = - 21$

Divide each term in $7 n = - 21$ by $7$ and simplify.

Divide each term in $7 n = - 21$ by $7$ .

$\frac{7 n}{7} = \frac{- 21}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 n}{7} = \frac{- 21}{7}$

Divide $n$ by $1$ .

$n = \frac{- 21}{7}$

Simplify the right side.

Divide $- 21$ by $7$ .

$n = - 3$