Solve for n -11+n/-8=-13

$- 11 + \frac{n}{- 8} = - 13$

Step 1

Move the negative in front of the fraction.

$- 11 - \frac{n}{8} = - 13$

Step 2

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

Add $11$ to both sides of the equation.

$- \frac{n}{8} = - 13 + 11$

Add $- 13$ and $11$ .

$- \frac{n}{8} = - 2$

Step 3

Multiply both sides of the equation by $- 8$ .

$- 8 (- \frac{n}{8}) = - 8 \cdot - 2$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 8 (- \frac{n}{8})$ .

Cancel the common factor of $8$ .

Move the leading negative in $- \frac{n}{8}$ into the numerator.

$- 8 \frac{- n}{8} = - 8 \cdot - 2$

Factor $8$ out of $- 8$ .

$8 (- 1) \frac{- n}{8} = - 8 \cdot - 2$

Cancel the common factor.

$8 \cdot - 1 \frac{- n}{8} = - 8 \cdot - 2$

Rewrite the expression.

$- - n = - 8 \cdot - 2$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 n = - 8 \cdot - 2$

Multiply $n$ by $1$ .

$n = - 8 \cdot - 2$

Simplify the right side.

Multiply $- 8$ by $- 2$ .

$n = 16$