Basic Math Examples

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

Step 1

Apply the distributive property.

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

Step 2

Multiply $- 1$ by $7$ .

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

Step 3

Multiply $7$ by $- 2$ .

$- 7 r - 14 + 4 (- 7 r - 6) - 3 (r + 2)$

Step 4

Apply the distributive property.

$- 7 r - 14 + 4 (- 7 r) + 4 \cdot - 6 - 3 (r + 2)$

Step 5

Multiply $- 7$ by $4$ .

$- 7 r - 14 - 28 r + 4 \cdot - 6 - 3 (r + 2)$

Step 6

Multiply $4$ by $- 6$ .

$- 7 r - 14 - 28 r - 24 - 3 (r + 2)$

Step 7

Apply the distributive property.

$- 7 r - 14 - 28 r - 24 - 3 r - 3 \cdot 2$

Step 8

Multiply $- 3$ by $2$ .

$- 7 r - 14 - 28 r - 24 - 3 r - 6$

Step 9

Subtract $28 r$ from $- 7 r$ .

$- 35 r - 14 - 24 - 3 r - 6$

Step 10

Subtract $3 r$ from $- 35 r$ .

$- 38 r - 14 - 24 - 6$

Step 11

Subtract $24$ from $- 14$ .

$- 38 r - 38 - 6$

Step 12

Subtract $6$ from $- 38$ .

$- 38 r - 44$

Step 13

Factor $- 2$ out of $- 38 r - 44$ .

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Step 13.1

Factor $- 2$ out of $- 38 r$ .

$- 2 (19 r) - 44$

Step 13.2

Factor $- 2$ out of $- 44$ .

$- 2 (19 r) - 2 (22)$

Step 13.3

Factor $- 2$ out of $- 2 (19 r) - 2 (22)$ .

$- 2 (19 r + 22)$