Basic Math Examples

$- 7 a - 4 (3 a + 2 (a + 6)) - 4$

Step 1

Factor $- 1$ out of $- 7 a - 4 (3 a + 2 (a + 6)) - 4$ .

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Step 1.1

Factor $- 1$ out of $- 7 a$ .

$- (7 a) - 4 (3 a + 2 (a + 6)) - 4$

Step 1.2

Factor $- 1$ out of $- 4 (3 a + 2 (a + 6))$ .

$- (7 a) - (4 (3 a + 2 (a + 6))) - 4$

Step 1.3

Rewrite $- 4$ as $- 1 (4)$ .

$- (7 a) - (4 (3 a + 2 (a + 6))) - 1 (4)$

Step 1.4

Factor $- 1$ out of $- (7 a) - (4 (3 a + 2 (a + 6)))$ .

$- (7 a + 4 (3 a + 2 (a + 6))) - 1 (4)$

Step 1.5

Factor $- 1$ out of $- (7 a + 4 (3 a + 2 (a + 6))) - 1 (4)$ .

$- (7 a + 4 (3 a + 2 (a + 6)) + 4)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$- (7 a + 4 (3 a + 2 a + 2 \cdot 6) + 4)$

Step 2.2

Multiply $2$ by $6$ .

$- (7 a + 4 (3 a + 2 a + 12) + 4)$

Step 3

Add $3 a$ and $2 a$ .

$- (7 a + 4 (5 a + 12) + 4)$

Step 4

Apply the distributive property.

$- (7 a + 4 (5 a) + 4 \cdot 12 + 4)$

Step 5

Multiply $5$ by $4$ .

$- (7 a + 20 a + 4 \cdot 12 + 4)$

Step 6

Multiply $4$ by $12$ .

$- (7 a + 20 a + 48 + 4)$

Step 7

Add $7 a$ and $20 a$ .

$- (27 a + 48 + 4)$

Step 8

Add $48$ and $4$ .

$- (27 a + 52)$