Solve for r 17-5r+9r=-12+6r-1

$17 - 5 r + 9 r = - 12 + 6 r - 1$

Step 1

Add $- 5 r$ and $9 r$ .

$17 + 4 r = - 12 + 6 r - 1$

Step 2

Subtract $1$ from $- 12$ .

$17 + 4 r = 6 r - 13$

Step 3

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

Subtract $6 r$ from both sides of the equation.

$17 + 4 r - 6 r = - 13$

Subtract $6 r$ from $4 r$ .

$17 - 2 r = - 13$

Step 4

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

Subtract $17$ from both sides of the equation.

$- 2 r = - 13 - 17$

Subtract $17$ from $- 13$ .

$- 2 r = - 30$

Step 5

Divide each term in $- 2 r = - 30$ by $- 2$ and simplify.

Divide each term in $- 2 r = - 30$ by $- 2$ .

$\frac{- 2 r}{- 2} = \frac{- 30}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 r}{- 2} = \frac{- 30}{- 2}$

Divide $r$ by $1$ .

$r = \frac{- 30}{- 2}$

Simplify the right side.

Divide $- 30$ by $- 2$ .

$r = 15$