Simplify 7-(-9+2i)-(-17-i)

$7 - (- 9 + 2 i) - (- 17 - i)$

Step 1

Simplify each term.

Apply the distributive property.

$7 - - 9 - (2 i) - (- 17 - i)$

Multiply $- 1$ by $- 9$ .

$7 + 9 - (2 i) - (- 17 - i)$

Multiply $2$ by $- 1$ .

$7 + 9 - 2 i - (- 17 - i)$

Apply the distributive property.

$7 + 9 - 2 i - - 17 - - i$

Multiply $- 1$ by $- 17$ .

$7 + 9 - 2 i + 17 - - i$

Multiply $- 1$ by $- 1$ .

$7 + 9 - 2 i + 17 + 1 i$

Multiply $i$ by $1$ .

$7 + 9 - 2 i + 17 + i$

$7 + 9 - 2 i + 17 + i$

Step 2

Simplify by adding terms.

Add $7$ and $9$ .

$16 - 2 i + 17 + i$

Add $16$ and $17$ .

$33 - 2 i + i$

Add $- 2 i$ and $i$ .

$33 - i$

$33 - i$

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