Finite Math Examples

$- 3 (w - 6) = - 10$

Step 1

Divide each term in $- 3 (w - 6) = - 10$ by $- 3$ and simplify.

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Step 1.1

Divide each term in $- 3 (w - 6) = - 10$ by $- 3$ .

$\frac{- 3 (w - 6)}{- 3} = \frac{- 10}{- 3}$

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.

$\frac{- 3 (w - 6)}{- 3} = \frac{- 10}{- 3}$

Step 1.2.1.2

Divide $w - 6$ by $1$ .

$w - 6 = \frac{- 10}{- 3}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Dividing two negative values results in a positive value.

$w - 6 = \frac{10}{3}$

Step 2

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

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Step 2.1

Add $6$ to both sides of the equation.

$w = \frac{10}{3} + 6$

Step 2.2

To write $6$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$w = \frac{10}{3} + 6 \cdot \frac{3}{3}$

Step 2.3

Combine $6$ and $\frac{3}{3}$ .

$w = \frac{10}{3} + \frac{6 \cdot 3}{3}$

Step 2.4

Combine the numerators over the common denominator.

$w = \frac{10 + 6 \cdot 3}{3}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $6$ by $3$ .

$w = \frac{10 + 18}{3}$

Step 2.5.2

Add $10$ and $18$ .

$w = \frac{28}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$w = \frac{28}{3}$

Decimal Form:

$w = 9.\overline{3}$

Mixed Number Form:

$w = 9 \frac{1}{3}$