Solve for r 3-r/8=-9/2

$3 - \frac{r}{8} = - \frac{9}{2}$

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

Subtract $3$ from both sides of the equation.

$- \frac{r}{8} = - \frac{9}{2} - 3$

To write $- 3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{r}{8} = - \frac{9}{2} - 3 \cdot \frac{2}{2}$

Combine $- 3$ and $\frac{2}{2}$ .

$- \frac{r}{8} = - \frac{9}{2} + \frac{- 3 \cdot 2}{2}$

Combine the numerators over the common denominator.

$- \frac{r}{8} = \frac{- 9 - 3 \cdot 2}{2}$

Simplify the numerator.

Multiply $- 3$ by $2$ .

$- \frac{r}{8} = \frac{- 9 - 6}{2}$

Subtract $6$ from $- 9$ .

$- \frac{r}{8} = \frac{- 15}{2}$

Move the negative in front of the fraction.

$- \frac{r}{8} = - \frac{15}{2}$

Multiply both sides of the equation by $- 8$ .

$- 8 (- \frac{r}{8}) = - 8 (- \frac{15}{2})$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 8 (- \frac{r}{8})$ .

Cancel the common factor of $8$ .

Move the leading negative in $- \frac{r}{8}$ into the numerator.

$- 8 \frac{- r}{8} = - 8 (- \frac{15}{2})$

Factor $8$ out of $- 8$ .

$8 (- 1) \frac{- r}{8} = - 8 (- \frac{15}{2})$

Cancel the common factor.

$8 \cdot - 1 \frac{- r}{8} = - 8 (- \frac{15}{2})$

Rewrite the expression.

$- - r = - 8 (- \frac{15}{2})$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 r = - 8 (- \frac{15}{2})$

Multiply $r$ by $1$ .

$r = - 8 (- \frac{15}{2})$

Simplify the right side.

Simplify $- 8 (- \frac{15}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{15}{2}$ into the numerator.

$r = - 8 (\frac{- 15}{2})$

Factor $2$ out of $- 8$ .

$r = 2 (- 4) \frac{- 15}{2}$

Cancel the common factor.

$r = 2 \cdot - 4 \frac{- 15}{2}$

Rewrite the expression.

$r = - 4 \cdot - 15$

Multiply $- 4$ by $- 15$ .

$r = 60$

Solve for r 3-r/8=-9/2

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