Simplify -i+(7-5i)-3(2-3i)

$- i + (7 - 5 i) - 3 (2 - 3 i)$

Step 1

Remove parentheses.

$- i + 7 - 5 i - 3 (2 - 3 i)$

Step 2

Simplify each term.

Apply the distributive property.

$- i + 7 - 5 i - 3 \cdot 2 - 3 (- 3 i)$

Multiply $- 3$ by $2$ .

$- i + 7 - 5 i - 6 - 3 (- 3 i)$

Multiply $- 3$ by $- 3$ .

$- i + 7 - 5 i - 6 + 9 i$

$- i + 7 - 5 i - 6 + 9 i$

Step 3

Simplify by adding terms.

Subtract $5 i$ from $- i$ .

$7 - 6 i - 6 + 9 i$

Subtract $6$ from $7$ .

$1 - 6 i + 9 i$

Add $- 6 i$ and $9 i$ .

$1 + 3 i$

$1 + 3 i$

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