Pre-Algebra Examples

$2 (m + w) = 2 m + 2 w$

Step 1

Simplify $2 (m + w)$ .

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Step 1.1

Rewrite.

$0 + 0 + 2 (m + w) = 2 m + 2 w$

Step 1.2

Simplify by adding zeros.

$2 (m + w) = 2 m + 2 w$

Step 1.3

Apply the distributive property.

$2 m + 2 w = 2 m + 2 w$

Step 2

Move all terms containing $m$ to the left side of the equation.

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Step 2.1

Subtract $2 m$ from both sides of the equation.

$2 m + 2 w - 2 m = 2 w$

Step 2.2

Combine the opposite terms in $2 m + 2 w - 2 m$ .

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Step 2.2.1

Subtract $2 m$ from $2 m$ .

$2 w + 0 = 2 w$

Step 2.2.2

Add $2 w$ and $0$ .

$2 w = 2 w$

Step 3

Divide each term in $2 w = 2 w$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 w = 2 w$ by $2$ .

$\frac{2 w}{2} = \frac{2 w}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 w}{2} = \frac{2 w}{2}$

Step 3.2.1.2

Divide $w$ by $1$ .

$w = \frac{2 w}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $2$ .

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Step 3.3.1.1

Cancel the common factor.

$w = \frac{2 w}{2}$

Step 3.3.1.2

Divide $w$ by $1$ .

$w = w$