Simplify -5+i-4+8i-(4-8i)

$- 5 + i - 4 + 8 i - (4 - 8 i)$

Simplify each term.

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Apply the distributive property.

$- 5 + i - 4 + 8 i - 1 \cdot 4 - (- 8 i)$

Multiply $- 1$ by $4$ .

$- 5 + i - 4 + 8 i - 4 - (- 8 i)$

Multiply $- 8$ by $- 1$ .

$- 5 + i - 4 + 8 i - 4 + 8 i$

Simplify by adding terms.

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Subtract $4$ from $- 5$ .

$- 9 + i + 8 i - 4 + 8 i$

Subtract $4$ from $- 9$ .

$- 13 + i + 8 i + 8 i$

Add $i$ and $8 i$ .

$- 13 + 9 i + 8 i$

Add $9 i$ and $8 i$ .

$- 13 + 17 i$

Simplify -5+i-4+8i-(4-8i)

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