Pre-Algebra Examples

$3 (2 n + 4) - 2 (3 n + 6)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 (2 n) + 3 \cdot 4 - 2 (3 n + 6)$

Step 1.2

Multiply $2$ by $3$ .

$6 n + 3 \cdot 4 - 2 (3 n + 6)$

Step 1.3

Multiply $3$ by $4$ .

$6 n + 12 - 2 (3 n + 6)$

Step 1.4

Apply the distributive property.

$6 n + 12 - 2 (3 n) - 2 \cdot 6$

Step 1.5

Multiply $3$ by $- 2$ .

$6 n + 12 - 6 n - 2 \cdot 6$

Step 1.6

Multiply $- 2$ by $6$ .

$6 n + 12 - 6 n - 12$

Step 2

Combine the opposite terms in $6 n + 12 - 6 n - 12$ .

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Step 2.1

Subtract $6 n$ from $6 n$ .

$0 + 12 - 12$

Step 2.2

Add $0$ and $12$ .

$12 - 12$

Step 2.3

Subtract $12$ from $12$ .

$0$