Calculus Examples

$c = 8 (w + 2 l) + 5 w$

Step 1

Rewrite the equation as $8 (w + 2 l) + 5 w = c$ .

$8 (w + 2 l) + 5 w = c$

Step 2

Simplify $8 (w + 2 l) + 5 w$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$8 w + 8 (2 l) + 5 w = c$

Step 2.1.2

Multiply $2$ by $8$ .

$8 w + 16 l + 5 w = c$

Step 2.2

Add $8 w$ and $5 w$ .

$16 l + 13 w = c$

Step 3

Subtract $16 l$ from both sides of the equation.

$13 w = c - 16 l$

Step 4

Divide each term in $13 w = c - 16 l$ by $13$ and simplify.

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Step 4.1

Divide each term in $13 w = c - 16 l$ by $13$ .

$\frac{13 w}{13} = \frac{c}{13} + \frac{- 16 l}{13}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $13$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{13 w}{13} = \frac{c}{13} + \frac{- 16 l}{13}$

Step 4.2.1.2

Divide $w$ by $1$ .

$w = \frac{c}{13} + \frac{- 16 l}{13}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$w = \frac{c}{13} - \frac{16 l}{13}$