Solve for r 15+10r-9=-7r-11

$15 + 10 r - 9 = - 7 r - 11$

Step 1

Subtract $9$ from $15$ .

$10 r + 6 = - 7 r - 11$

Step 2

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

Add $7 r$ to both sides of the equation.

$10 r + 6 + 7 r = - 11$

Add $10 r$ and $7 r$ .

$17 r + 6 = - 11$

Step 3

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

Subtract $6$ from both sides of the equation.

$17 r = - 11 - 6$

Subtract $6$ from $- 11$ .

$17 r = - 17$

Step 4

Divide each term in $17 r = - 17$ by $17$ and simplify.

Divide each term in $17 r = - 17$ by $17$ .

$\frac{17 r}{17} = \frac{- 17}{17}$

Simplify the left side.

Cancel the common factor of $17$ .

Cancel the common factor.

$\frac{17 r}{17} = \frac{- 17}{17}$

Divide $r$ by $1$ .

$r = \frac{- 17}{17}$

Simplify the right side.

Divide $- 17$ by $17$ .

$r = - 1$