Algebra Examples

$((4 + 2 - 11) + (13 + 9 - 20)) - ((- 3 + 5 - 21) - (18 - 15 + 6))$

Step 1

Remove parentheses.

$4 + 2 - 11 + 13 + 9 - 20 - ((- 3 + 5 - 21) - (18 - 15 + 6))$

Step 2

Simplify each term.

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Step 2.1

Simplify each term.

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Step 2.1.1

Subtract $15$ from $18$ .

$4 + 2 - 11 + 13 + 9 - 20 - (- 3 + 5 - 21 - (3 + 6))$

Step 2.1.2

Add $3$ and $6$ .

$4 + 2 - 11 + 13 + 9 - 20 - (- 3 + 5 - 21 - 1 \cdot 9)$

Step 2.1.3

Multiply $- 1$ by $9$ .

$4 + 2 - 11 + 13 + 9 - 20 - (- 3 + 5 - 21 - 9)$

Step 2.2

Add $- 3$ and $5$ .

$4 + 2 - 11 + 13 + 9 - 20 - (2 - 21 - 9)$

Step 2.3

Subtract $21$ from $2$ .

$4 + 2 - 11 + 13 + 9 - 20 - (- 19 - 9)$

Step 2.4

Subtract $9$ from $- 19$ .

$4 + 2 - 11 + 13 + 9 - 20 - - 28$

Step 2.5

Multiply $- 1$ by $- 28$ .

$4 + 2 - 11 + 13 + 9 - 20 + 28$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Add $4$ and $2$ .

$6 - 11 + 13 + 9 - 20 + 28$

Step 3.2

Subtract $11$ from $6$ .

$- 5 + 13 + 9 - 20 + 28$

Step 3.3

Add $- 5$ and $13$ .

$8 + 9 - 20 + 28$

Step 3.4

Add $8$ and $9$ .

$17 - 20 + 28$

Step 3.5

Subtract $20$ from $17$ .

$- 3 + 28$

Step 3.6

Add $- 3$ and $28$ .

$25$