Basic Math Examples

$\frac{5}{8} \cdot (7 - 15) = 4 r + 4$

Step 1

Rewrite the equation as $4 r + 4 = \frac{5}{8} \cdot (7 - 15)$ .

$4 r + 4 = \frac{5}{8} \cdot (7 - 15)$

Step 2

Simplify $\frac{5}{8} \cdot (7 - 15)$ .

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Step 2.1

Rewrite.

$4 r + 4 = 0 + 0 + \frac{5}{8} \cdot (7 - 15)$

Step 2.2

Subtract $15$ from $7$ .

$4 r + 4 = \frac{5}{8} \cdot - 8$

Step 2.3

Cancel the common factor of $8$ .

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Step 2.3.1

Factor $8$ out of $- 8$ .

$4 r + 4 = \frac{5}{8} \cdot (8 (- 1))$

Step 2.3.2

Cancel the common factor.

$4 r + 4 = \frac{5}{8} \cdot (8 \cdot - 1)$

Step 2.3.3

Rewrite the expression.

$4 r + 4 = 5 \cdot - 1$

Step 2.4

Multiply $5$ by $- 1$ .

$4 r + 4 = - 5$

Step 3

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

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Step 3.1

Subtract $4$ from both sides of the equation.

$4 r = - 5 - 4$

Step 3.2

Subtract $4$ from $- 5$ .

$4 r = - 9$

Step 4

Divide each term in $4 r = - 9$ by $4$ and simplify.

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Step 4.1

Divide each term in $4 r = - 9$ by $4$ .

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

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $4$ .

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Step 4.2.1.1

Cancel the common factor.

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

Step 4.2.1.2

Divide $r$ by $1$ .

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

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$r = - 2.25$

Mixed Number Form:

$r = - 2 \frac{1}{4}$