Basic Math Examples

$3 (3 w - 4) = - 20$

Step 1

Divide each term in $3 (3 w - 4) = - 20$ by $3$ and simplify.

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Step 1.1

Divide each term in $3 (3 w - 4) = - 20$ by $3$ .

$\frac{3 (3 w - 4)}{3} = \frac{- 20}{3}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $3$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{3 (3 w - 4)}{3} = \frac{- 20}{3}$

Step 1.2.1.2

Divide $3 w - 4$ by $1$ .

$3 w - 4 = \frac{- 20}{3}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Move the negative in front of the fraction.

$3 w - 4 = - \frac{20}{3}$

Step 2

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

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Step 2.1

Add $4$ to both sides of the equation.

$3 w = - \frac{20}{3} + 4$

Step 2.2

To write $4$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$3 w = - \frac{20}{3} + 4 \cdot \frac{3}{3}$

Step 2.3

Combine $4$ and $\frac{3}{3}$ .

$3 w = - \frac{20}{3} + \frac{4 \cdot 3}{3}$

Step 2.4

Combine the numerators over the common denominator.

$3 w = \frac{- 20 + 4 \cdot 3}{3}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $4$ by $3$ .

$3 w = \frac{- 20 + 12}{3}$

Step 2.5.2

Add $- 20$ and $12$ .

$3 w = \frac{- 8}{3}$

Step 2.6

Move the negative in front of the fraction.

$3 w = - \frac{8}{3}$

Step 3

Divide each term in $3 w = - \frac{8}{3}$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 w = - \frac{8}{3}$ by $3$ .

$\frac{3 w}{3} = \frac{- \frac{8}{3}}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 w}{3} = \frac{- \frac{8}{3}}{3}$

Step 3.2.1.2

Divide $w$ by $1$ .

$w = \frac{- \frac{8}{3}}{3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply the numerator by the reciprocal of the denominator.

$w = - \frac{8}{3} \cdot \frac{1}{3}$

Step 3.3.2

Multiply $- \frac{8}{3} \cdot \frac{1}{3}$ .

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Step 3.3.2.1

Multiply $\frac{1}{3}$ by $\frac{8}{3}$ .

$w = - \frac{8}{3 \cdot 3}$

Step 3.3.2.2

Multiply $3$ by $3$ .

$w = - \frac{8}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$w = - \frac{8}{9}$

Decimal Form:

$w = - 0.\overline{8}$