Algebra Examples

$10 (5 g + 2 h - 3) - 4 (3 g - 4 h + 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$10 (5 g) + 10 (2 h) + 10 \cdot - 3 - 4 (3 g - 4 h + 2)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $5$ by $10$ .

$50 g + 10 (2 h) + 10 \cdot - 3 - 4 (3 g - 4 h + 2)$

Step 1.2.2

Multiply $2$ by $10$ .

$50 g + 20 h + 10 \cdot - 3 - 4 (3 g - 4 h + 2)$

Step 1.2.3

Multiply $10$ by $- 3$ .

$50 g + 20 h - 30 - 4 (3 g - 4 h + 2)$

Step 1.3

Apply the distributive property.

$50 g + 20 h - 30 - 4 (3 g) - 4 (- 4 h) - 4 \cdot 2$

Step 1.4

Simplify.

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Step 1.4.1

Multiply $3$ by $- 4$ .

$50 g + 20 h - 30 - 12 g - 4 (- 4 h) - 4 \cdot 2$

Step 1.4.2

Multiply $- 4$ by $- 4$ .

$50 g + 20 h - 30 - 12 g + 16 h - 4 \cdot 2$

Step 1.4.3

Multiply $- 4$ by $2$ .

$50 g + 20 h - 30 - 12 g + 16 h - 8$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $12 g$ from $50 g$ .

$38 g + 20 h - 30 + 16 h - 8$

Step 2.2

Add $20 h$ and $16 h$ .

$38 g + 36 h - 30 - 8$

Step 2.3

Subtract $8$ from $- 30$ .

$38 g + 36 h - 38$