Basic Math Examples

$- 4 (r + 8) = - 55$

Step 1

Divide each term in $- 4 (r + 8) = - 55$ by $- 4$ and simplify.

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Step 1.1

Divide each term in $- 4 (r + 8) = - 55$ by $- 4$ .

$\frac{- 4 (r + 8)}{- 4} = \frac{- 55}{- 4}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 4$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{- 4 (r + 8)}{- 4} = \frac{- 55}{- 4}$

Step 1.2.1.2

Divide $r + 8$ by $1$ .

$r + 8 = \frac{- 55}{- 4}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Dividing two negative values results in a positive value.

$r + 8 = \frac{55}{4}$

Step 2

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

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Step 2.1

Subtract $8$ from both sides of the equation.

$r = \frac{55}{4} - 8$

Step 2.2

To write $- 8$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$r = \frac{55}{4} - 8 \cdot \frac{4}{4}$

Step 2.3

Combine $- 8$ and $\frac{4}{4}$ .

$r = \frac{55}{4} + \frac{- 8 \cdot 4}{4}$

Step 2.4

Combine the numerators over the common denominator.

$r = \frac{55 - 8 \cdot 4}{4}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $- 8$ by $4$ .

$r = \frac{55 - 32}{4}$

Step 2.5.2

Subtract $32$ from $55$ .

$r = \frac{23}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$r = \frac{23}{4}$

Decimal Form:

$r = 5.75$

Mixed Number Form:

$r = 5 \frac{3}{4}$