Algebra Examples

$- 4 = \frac{r}{20} - 5$

Step 1

Rewrite the equation as $\frac{r}{20} - 5 = - 4$ .

$\frac{r}{20} - 5 = - 4$

Step 2

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

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Step 2.1

Add $5$ to both sides of the equation.

$\frac{r}{20} = - 4 + 5$

Step 2.2

Add $- 4$ and $5$ .

$\frac{r}{20} = 1$

Step 3

Multiply both sides of the equation by $20$ .

$20 \frac{r}{20} = 20 \cdot 1$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $20$ .

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Step 4.1.1.1

Cancel the common factor.

$20 \frac{r}{20} = 20 \cdot 1$

Step 4.1.1.2

Rewrite the expression.

$r = 20 \cdot 1$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $20$ by $1$ .

$r = 20$