Calculus Examples

$400 = 2 l + 2 w + 2 p$

Step 1

Rewrite the equation as $2 l + 2 w + 2 p = 400$ .

$2 l + 2 w + 2 p = 400$

Step 2

Move all terms not containing $w$ to the right side of the equation.

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Step 2.1

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

$2 w + 2 p = 400 - 2 l$

Step 2.2

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

$2 w = 400 - 2 l - 2 p$

Step 3

Divide each term in $2 w = 400 - 2 l - 2 p$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 w = 400 - 2 l - 2 p$ by $2$ .

$\frac{2 w}{2} = \frac{400}{2} + \frac{- 2 l}{2} + \frac{- 2 p}{2}$

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.

$\frac{2 w}{2} = \frac{400}{2} + \frac{- 2 l}{2} + \frac{- 2 p}{2}$

Step 3.2.1.2

Divide $w$ by $1$ .

$w = \frac{400}{2} + \frac{- 2 l}{2} + \frac{- 2 p}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Divide $400$ by $2$ .

$w = 200 + \frac{- 2 l}{2} + \frac{- 2 p}{2}$

Step 3.3.1.2

Cancel the common factor of $- 2$ and $2$ .

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Step 3.3.1.2.1

Factor $2$ out of $- 2 l$ .

$w = 200 + \frac{2 (- l)}{2} + \frac{- 2 p}{2}$

Step 3.3.1.2.2

Cancel the common factors.

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Step 3.3.1.2.2.1

Factor $2$ out of $2$ .

$w = 200 + \frac{2 (- l)}{2 (1)} + \frac{- 2 p}{2}$

Step 3.3.1.2.2.2

Cancel the common factor.

$w = 200 + \frac{2 (- l)}{2 \cdot 1} + \frac{- 2 p}{2}$

Step 3.3.1.2.2.3

Rewrite the expression.

$w = 200 + \frac{- l}{1} + \frac{- 2 p}{2}$

Step 3.3.1.2.2.4

Divide $- l$ by $1$ .

$w = 200 - l + \frac{- 2 p}{2}$

Step 3.3.1.3

Cancel the common factor of $- 2$ and $2$ .

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Step 3.3.1.3.1

Factor $2$ out of $- 2 p$ .

$w = 200 - l + \frac{2 (- p)}{2}$

Step 3.3.1.3.2

Cancel the common factors.

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Step 3.3.1.3.2.1

Factor $2$ out of $2$ .

$w = 200 - l + \frac{2 (- p)}{2 (1)}$

Step 3.3.1.3.2.2

Cancel the common factor.

$w = 200 - l + \frac{2 (- p)}{2 \cdot 1}$

Step 3.3.1.3.2.3

Rewrite the expression.

$w = 200 - l + \frac{- p}{1}$

Step 3.3.1.3.2.4

Divide $- p$ by $1$ .

$w = 200 - l - p$