Solve for n -(n-8)=-2

$- (n - 8) = - 2$

Step 1

Simplify $- (n - 8)$ .

Apply the distributive property.

$- n - - 8 = - 2$

Multiply $- 1$ by $- 8$ .

$- n + 8 = - 2$

Step 2

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

Subtract $8$ from both sides of the equation.

$- n = - 2 - 8$

Subtract $8$ from $- 2$ .

$- n = - 10$

Step 3

Divide each term in $- n = - 10$ by $- 1$ and simplify.

Divide each term in $- n = - 10$ by $- 1$ .

$\frac{- n}{- 1} = \frac{- 10}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{n}{1} = \frac{- 10}{- 1}$

Divide $n$ by $1$ .

$n = \frac{- 10}{- 1}$

Simplify the right side.

Divide $- 10$ by $- 1$ .

$n = 10$