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Simplify 20+10i+(-11i+8)-(7+i)

$20 + 10 i + (- 11 i + 8) - (7 + i)$

Step 1

Remove parentheses.

$20 + 10 i - 11 i + 8 - (7 + i)$

Step 2

Simplify each term.

Apply the distributive property.

$20 + 10 i - 11 i + 8 - 1 \cdot 7 - i$

Multiply $- 1$ by $7$ .

$20 + 10 i - 11 i + 8 - 7 - i$

$20 + 10 i - 11 i + 8 - 7 - i$

Step 3

Simplify by adding terms.

Add $20$ and $8$ .

$28 + 10 i - 11 i - 7 - i$

Subtract $7$ from $28$ .

$21 + 10 i - 11 i - i$

Subtract $11 i$ from $10 i$ .

$21 - i - i$

Subtract $i$ from $- i$ .

$21 - 2 i$

$21 - 2 i$

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