Pre-Algebra Examples

$- 6 h - 5 + \frac{2}{3} \cdot (24 h - 12)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 6 h - 5 + \frac{2}{3} (24 h) + \frac{2}{3} \cdot - 12$

Step 1.2

Cancel the common factor of $3$ .

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Step 1.2.1

Factor $3$ out of $24 h$ .

$- 6 h - 5 + \frac{2}{3} (3 (8 h)) + \frac{2}{3} \cdot - 12$

Step 1.2.2

Cancel the common factor.

$- 6 h - 5 + \frac{2}{3} (3 (8 h)) + \frac{2}{3} \cdot - 12$

Step 1.2.3

Rewrite the expression.

$- 6 h - 5 + 2 (8 h) + \frac{2}{3} \cdot - 12$

Step 1.3

Multiply $8$ by $2$ .

$- 6 h - 5 + 16 h + \frac{2}{3} \cdot - 12$

Step 1.4

Cancel the common factor of $3$ .

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Step 1.4.1

Factor $3$ out of $- 12$ .

$- 6 h - 5 + 16 h + \frac{2}{3} \cdot (3 (- 4))$

Step 1.4.2

Cancel the common factor.

$- 6 h - 5 + 16 h + \frac{2}{3} \cdot (3 \cdot - 4)$

Step 1.4.3

Rewrite the expression.

$- 6 h - 5 + 16 h + 2 \cdot - 4$

Step 1.5

Multiply $2$ by $- 4$ .

$- 6 h - 5 + 16 h - 8$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- 6 h$ and $16 h$ .

$10 h - 5 - 8$

Step 2.2

Subtract $8$ from $- 5$ .

$10 h - 13$