Pre-Algebra Examples

$\frac{m}{- 3} = - 5 - 18$

Step 1

Multiply both sides of the equation by $- 3$ .

$- 3 \frac{m}{- 3} = - 3 (- 5 - 18)$

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 $- 3 \frac{m}{- 3}$ .

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Step 2.1.1.1

Cancel the common factor of $3$ .

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Step 2.1.1.1.1

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{m}{- 3} = - 3 (- 5 - 18)$

Step 2.1.1.1.2

Factor $3$ out of $- 3$ .

$3 \cdot - 1 \frac{m}{3 \cdot - 1} = - 3 (- 5 - 18)$

Step 2.1.1.1.3

Cancel the common factor.

$3 \cdot - 1 \frac{m}{3 \cdot - 1} = - 3 (- 5 - 18)$

Step 2.1.1.1.4

Rewrite the expression.

$- \frac{m}{- 1} = - 3 (- 5 - 18)$

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 $\frac{m}{- 1}$ .

$- (- 1 \cdot m) = - 3 (- 5 - 18)$

Step 2.1.1.2.2

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

$- - m = - 3 (- 5 - 18)$

Step 2.1.1.3

Multiply $- - m$ .

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Step 2.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 m = - 3 (- 5 - 18)$

Step 2.1.1.3.2

Multiply $m$ by $1$ .

$m = - 3 (- 5 - 18)$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $- 3 (- 5 - 18)$ .

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Step 2.2.1.1

Subtract $18$ from $- 5$ .

$m = - 3 \cdot - 23$

Step 2.2.1.2

Multiply $- 3$ by $- 23$ .

$m = 69$