Solve for r -58r+36r+86=-100+2(-13r-55)

$- 58 r + 36 r + 86 = - 100 + 2 (- 13 r - 55)$

Add $- 58 r$ and $36 r$ .

$- 22 r + 86 = - 100 + 2 (- 13 r - 55)$

Simplify $- 100 + 2 (- 13 r - 55)$ .

Simplify each term.

Apply the distributive property.

$- 22 r + 86 = - 100 + 2 (- 13 r) + 2 \cdot - 55$

Multiply $- 13$ by $2$ .

$- 22 r + 86 = - 100 - 26 r + 2 \cdot - 55$

Multiply $2$ by $- 55$ .

$- 22 r + 86 = - 100 - 26 r - 110$

Subtract $110$ from $- 100$ .

$- 22 r + 86 = - 26 r - 210$

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

Add $26 r$ to both sides of the equation.

$- 22 r + 86 + 26 r = - 210$

Add $- 22 r$ and $26 r$ .

$4 r + 86 = - 210$

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

Subtract $86$ from both sides of the equation.

$4 r = - 210 - 86$

Subtract $86$ from $- 210$ .

$4 r = - 296$

Divide each term in $4 r = - 296$ by $4$ and simplify.

Divide each term in $4 r = - 296$ by $4$ .

$\frac{4 r}{4} = \frac{- 296}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 r}{4} = \frac{- 296}{4}$

Divide $r$ by $1$ .

$r = \frac{- 296}{4}$

Simplify the right side.

Divide $- 296$ by $4$ .

$r = - 74$