Solve for n -4n-8n+17=23

$- 4 n - 8 n + 17 = 23$

Subtract $8 n$ from $- 4 n$ .

$- 12 n + 17 = 23$

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

Subtract $17$ from both sides of the equation.

$- 12 n = 23 - 17$

Subtract $17$ from $23$ .

$- 12 n = 6$

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

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

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

Simplify the left side.

Cancel the common factor of $- 12$ .

Cancel the common factor.

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

Divide $n$ by $1$ .

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

Simplify the right side.

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

Factor $6$ out of $6$ .

$n = \frac{6 (1)}{- 12}$

Cancel the common factors.

Factor $6$ out of $- 12$ .

$n = \frac{6 \cdot 1}{6 \cdot - 2}$

Cancel the common factor.

$n = \frac{6 \cdot 1}{6 \cdot - 2}$

Rewrite the expression.

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

Move the negative in front of the fraction.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$n = - 0.5$