Basic Math Examples

$21 = \frac{n (- 1)}{2}$

Step 1

Rewrite the equation as $\frac{n (- 1)}{2} = 21$ .

$\frac{n (- 1)}{2} = 21$

Step 2

Multiply both sides of the equation by $\frac{2}{- 1}$ .

$\frac{2}{- 1} \cdot \frac{n \cdot - 1}{2} = \frac{2}{- 1} \cdot 21$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{2}{- 1} \cdot \frac{n \cdot - 1}{2}$ .

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Step 3.1.1.1

Cancel the common factor of $2$ .

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Step 3.1.1.1.1

Cancel the common factor.

$\frac{2}{- 1} \cdot \frac{n \cdot - 1}{2} = \frac{2}{- 1} \cdot 21$

Step 3.1.1.1.2

Rewrite the expression.

$\frac{1}{- 1} (n \cdot - 1) = \frac{2}{- 1} \cdot 21$

Step 3.1.1.2

Combine $n$ and $\frac{1}{- 1}$ .

$\frac{n}{- 1} \cdot - 1 = \frac{2}{- 1} \cdot 21$

Step 3.1.1.3

Combine $\frac{n}{- 1}$ and $- 1$ .

$\frac{n \cdot - 1}{- 1} = \frac{2}{- 1} \cdot 21$

Step 3.1.1.4

Simplify the expression.

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Step 3.1.1.4.1

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

$- 1 \cdot (n \cdot - 1) = \frac{2}{- 1} \cdot 21$

Step 3.1.1.4.2

Rewrite $- 1 \cdot (n \cdot - 1)$ as $- (n \cdot - 1)$ .

$- (n \cdot - 1) = \frac{2}{- 1} \cdot 21$

Step 3.1.1.4.3

Move $- 1$ to the left of $n$ .

$- (- 1 \cdot n) = \frac{2}{- 1} \cdot 21$

Step 3.1.1.4.4

Rewrite $- 1 n$ as $- n$ .

$- - n = \frac{2}{- 1} \cdot 21$

Step 3.1.1.5

Multiply $- - n$ .

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Step 3.1.1.5.1

Multiply $- 1$ by $- 1$ .

$1 n = \frac{2}{- 1} \cdot 21$

Step 3.1.1.5.2

Multiply $n$ by $1$ .

$n = \frac{2}{- 1} \cdot 21$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $\frac{2}{- 1} \cdot 21$ .

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Step 3.2.1.1

Divide $2$ by $- 1$ .

$n = - 2 \cdot 21$

Step 3.2.1.2

Multiply $- 2$ by $21$ .

$n = - 42$