Solve for r 1.8r+9=-5.7r-6

$1.8 r + 9 = - 5.7 r - 6$

Step 1

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

Add $5.7 r$ to both sides of the equation.

$1.8 r + 9 + 5.7 r = - 6$

Add $1.8 r$ and $5.7 r$ .

$7.5 r + 9 = - 6$

Step 2

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

Subtract $9$ from both sides of the equation.

$7.5 r = - 6 - 9$

Subtract $9$ from $- 6$ .

$7.5 r = - 15$

Step 3

Divide each term in $7.5 r = - 15$ by $7.5$ and simplify.

Divide each term in $7.5 r = - 15$ by $7.5$ .

$\frac{7.5 r}{7.5} = \frac{- 15}{7.5}$

Simplify the left side.

Cancel the common factor of $7.5$ .

Cancel the common factor.

$\frac{7.5 r}{7.5} = \frac{- 15}{7.5}$

Divide $r$ by $1$ .

$r = \frac{- 15}{7.5}$

Simplify the right side.

Divide $- 15$ by $7.5$ .

$r = - 2$