Solve for r 2r-9=-6

$2 r - 9 = - 6$

Step 1

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

Add $9$ to both sides of the equation.

$2 r = - 6 + 9$

Add $- 6$ and $9$ .

$2 r = 3$

Step 2

Divide each term in $2 r = 3$ by $2$ and simplify.

Divide each term in $2 r = 3$ by $2$ .

$\frac{2 r}{2} = \frac{3}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 r}{2} = \frac{3}{2}$

Divide $r$ by $1$ .

$r = \frac{3}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$r = \frac{3}{2}$

Decimal Form:

$r = 1.5$

Mixed Number Form:

$r = 1 \frac{1}{2}$