Solve for n 17=2-(n+6)

$17 = 2 - (n + 6)$

Step 1

Rewrite the equation as $2 - (n + 6) = 17$ .

$2 - (n + 6) = 17$

Step 2

Simplify $2 - (n + 6)$ .

Simplify each term.

Apply the distributive property.

$2 - n - 1 \cdot 6 = 17$

Multiply $- 1$ by $6$ .

$2 - n - 6 = 17$

Subtract $6$ from $2$ .

$- n - 4 = 17$

Step 3

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

Add $4$ to both sides of the equation.

$- n = 17 + 4$

Add $17$ and $4$ .

$- n = 21$

Step 4

Divide each term in $- n = 21$ by $- 1$ and simplify.

Divide each term in $- n = 21$ by $- 1$ .

$\frac{- n}{- 1} = \frac{21}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{n}{1} = \frac{21}{- 1}$

Divide $n$ by $1$ .

$n = \frac{21}{- 1}$

Simplify the right side.

Divide $21$ by $- 1$ .

$n = - 21$