Simplify (2+2i)-(14+16i)

$(2 + 2 i) - (14 + 16 i)$

Step 1

Simplify each term.

Apply the distributive property.

$2 + 2 i - 1 \cdot 14 - (16 i)$

Multiply $- 1$ by $14$ .

$2 + 2 i - 14 - (16 i)$

Multiply $16$ by $- 1$ .

$2 + 2 i - 14 - 16 i$

$2 + 2 i - 14 - 16 i$

Step 2

Simplify by adding terms.

Subtract $14$ from $2$ .

$- 12 + 2 i - 16 i$

Subtract $16 i$ from $2 i$ .

$- 12 - 14 i$

$- 12 - 14 i$

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