Solve for r 9+r/6=7

$9 + \frac{r}{6} = 7$

Step 1

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

Subtract $9$ from both sides of the equation.

$\frac{r}{6} = 7 - 9$

Subtract $9$ from $7$ .

$\frac{r}{6} = - 2$

Step 2

Multiply both sides of the equation by $6$ .

$6 \frac{r}{6} = 6 \cdot - 2$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$6 \frac{r}{6} = 6 \cdot - 2$

Rewrite the expression.

$r = 6 \cdot - 2$

Simplify the right side.

Multiply $6$ by $- 2$ .

$r = - 12$