Pre-Algebra Examples

$\frac{b}{- 6} = 20$

Step 1

Multiply both sides of the equation by $- 6$ .

$- 6 \frac{b}{- 6} = - 6 \cdot 20$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $- 6 \frac{b}{- 6}$ .

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Step 2.1.1.1

Cancel the common factor of $6$ .

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Step 2.1.1.1.1

Factor $6$ out of $- 6$ .

$6 (- 1) \frac{b}{- 6} = - 6 \cdot 20$

Step 2.1.1.1.2

Factor $6$ out of $- 6$ .

$6 \cdot - 1 \frac{b}{6 \cdot - 1} = - 6 \cdot 20$

Step 2.1.1.1.3

Cancel the common factor.

$6 \cdot - 1 \frac{b}{6 \cdot - 1} = - 6 \cdot 20$

Step 2.1.1.1.4

Rewrite the expression.

$- \frac{b}{- 1} = - 6 \cdot 20$

Step 2.1.1.2

Simplify the expression.

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Step 2.1.1.2.1

Move the negative one from the denominator of $\frac{b}{- 1}$ .

$- (- 1 \cdot b) = - 6 \cdot 20$

Step 2.1.1.2.2

Rewrite $- 1 \cdot b$ as $- b$ .

$- - b = - 6 \cdot 20$

Step 2.1.1.3

Multiply $- - b$ .

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Step 2.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 b = - 6 \cdot 20$

Step 2.1.1.3.2

Multiply $b$ by $1$ .

$b = - 6 \cdot 20$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $- 6$ by $20$ .

$b = - 120$