Pre-Algebra Examples

$42 = 8 m + 13 m$

Step 1

Rewrite the equation as $8 m + 13 m = 42$ .

$8 m + 13 m = 42$

Step 2

Add $8 m$ and $13 m$ .

$21 m = 42$

Step 3

Divide each term in $21 m = 42$ by $21$ and simplify.

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Step 3.1

Divide each term in $21 m = 42$ by $21$ .

$\frac{21 m}{21} = \frac{42}{21}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $21$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{21 m}{21} = \frac{42}{21}$

Step 3.2.1.2

Divide $m$ by $1$ .

$m = \frac{42}{21}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $42$ by $21$ .

$m = 2$