Solve for n 1-3n=-9+n+2

$1 - 3 n = - 9 + n + 2$

Step 1

Add $- 9$ and $2$ .

$1 - 3 n = n - 7$

Step 2

Move all terms containing $n$ to the left side of the equation.

Subtract $n$ from both sides of the equation.

$1 - 3 n - n = - 7$

Subtract $n$ from $- 3 n$ .

$1 - 4 n = - 7$

Step 3

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

Subtract $1$ from both sides of the equation.

$- 4 n = - 7 - 1$

Subtract $1$ from $- 7$ .

$- 4 n = - 8$

Step 4

Divide each term in $- 4 n = - 8$ by $- 4$ and simplify.

Divide each term in $- 4 n = - 8$ by $- 4$ .

$\frac{- 4 n}{- 4} = \frac{- 8}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 n}{- 4} = \frac{- 8}{- 4}$

Divide $n$ by $1$ .

$n = \frac{- 8}{- 4}$

Simplify the right side.

Divide $- 8$ by $- 4$ .

$n = 2$