Finite Math Examples

$- 3 + (- 8 (6 - (\frac{12}{2}) - 4) - 2 \cdot 4) - 6$

Step 1

Remove parentheses.

$- 3 - 8 (6 - (\frac{12}{2}) - 4) - 2 \cdot 4 - 6$

Step 2

Simplify each term.

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Step 2.1

Find the common denominator.

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Step 2.1.1

Write $6$ as a fraction with denominator $1$ .

$- 3 - 8 (\frac{6}{1} - (\frac{12}{2}) - 4) - 2 \cdot 4 - 6$

Step 2.1.2

Multiply $\frac{6}{1}$ by $\frac{2}{2}$ .

$- 3 - 8 (\frac{6}{1} \cdot \frac{2}{2} - (\frac{12}{2}) - 4) - 2 \cdot 4 - 6$

Step 2.1.3

Multiply $\frac{6}{1}$ by $\frac{2}{2}$ .

$- 3 - 8 (\frac{6 \cdot 2}{2} - (\frac{12}{2}) - 4) - 2 \cdot 4 - 6$

Step 2.1.4

Write $- 4$ as a fraction with denominator $1$ .

$- 3 - 8 (\frac{6 \cdot 2}{2} - (\frac{12}{2}) + \frac{- 4}{1}) - 2 \cdot 4 - 6$

Step 2.1.5

Multiply $\frac{- 4}{1}$ by $\frac{2}{2}$ .

$- 3 - 8 (\frac{6 \cdot 2}{2} - (\frac{12}{2}) + \frac{- 4}{1} \cdot \frac{2}{2}) - 2 \cdot 4 - 6$

Step 2.1.6

Multiply $\frac{- 4}{1}$ by $\frac{2}{2}$ .

$- 3 - 8 (\frac{6 \cdot 2}{2} - (\frac{12}{2}) + \frac{- 4 \cdot 2}{2}) - 2 \cdot 4 - 6$

Step 2.2

Combine the numerators over the common denominator.

$- 3 - 8 \frac{6 \cdot 2 - 12 - 4 \cdot 2}{2} - 2 \cdot 4 - 6$

Step 2.3

Simplify each term.

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Step 2.3.1

Multiply $6$ by $2$ .

$- 3 - 8 \frac{12 - 12 - 4 \cdot 2}{2} - 2 \cdot 4 - 6$

Step 2.3.2

Multiply $- 4$ by $2$ .

$- 3 - 8 \frac{12 - 12 - 8}{2} - 2 \cdot 4 - 6$

Step 2.4

Subtract $12$ from $12$ .

$- 3 - 8 \frac{0 - 8}{2} - 2 \cdot 4 - 6$

Step 2.5

Subtract $8$ from $0$ .

$- 3 - 8 (\frac{- 8}{2}) - 2 \cdot 4 - 6$

Step 2.6

Cancel the common factor of $2$ .

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Step 2.6.1

Factor $2$ out of $- 8$ .

$- 3 + 2 (- 4) \frac{- 8}{2} - 2 \cdot 4 - 6$

Step 2.6.2

Cancel the common factor.

$- 3 + 2 \cdot - 4 \frac{- 8}{2} - 2 \cdot 4 - 6$

Step 2.6.3

Rewrite the expression.

$- 3 - 4 \cdot - 8 - 2 \cdot 4 - 6$

Step 2.7

Multiply $- 4$ by $- 8$ .

$- 3 + 32 - 2 \cdot 4 - 6$

Step 2.8

Multiply $- 2$ by $4$ .

$- 3 + 32 - 8 - 6$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Add $- 3$ and $32$ .

$29 - 8 - 6$

Step 3.2

Subtract $8$ from $29$ .

$21 - 6$

Step 3.3

Subtract $6$ from $21$ .

$15$