Solve for r -4(r+6)=-63

$- 4 (r + 6) = - 63$

Step 1

Divide each term in $- 4 (r + 6) = - 63$ by $- 4$ and simplify.

Divide each term in $- 4 (r + 6) = - 63$ by $- 4$ .

$\frac{- 4 (r + 6)}{- 4} = \frac{- 63}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 (r + 6)}{- 4} = \frac{- 63}{- 4}$

Divide $r + 6$ by $1$ .

$r + 6 = \frac{- 63}{- 4}$

Simplify the right side.

Dividing two negative values results in a positive value.

$r + 6 = \frac{63}{4}$

Step 2

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

Subtract $6$ from both sides of the equation.

$r = \frac{63}{4} - 6$

To write $- 6$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$r = \frac{63}{4} - 6 \cdot \frac{4}{4}$

Combine $- 6$ and $\frac{4}{4}$ .

$r = \frac{63}{4} + \frac{- 6 \cdot 4}{4}$

Combine the numerators over the common denominator.

$r = \frac{63 - 6 \cdot 4}{4}$

Simplify the numerator.

Multiply $- 6$ by $4$ .

$r = \frac{63 - 24}{4}$

Subtract $24$ from $63$ .

$r = \frac{39}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$r = \frac{39}{4}$

Decimal Form:

$r = 9.75$

Mixed Number Form:

$r = 9 \frac{3}{4}$