Simplify (2i-6)-(-3i+3)

$(2 i - 6) - (- 3 i + 3)$

Step 1

Simplify each term.

Apply the distributive property.

$2 i - 6 - (- 3 i) - 1 \cdot 3$

Multiply $- 3$ by $- 1$ .

$2 i - 6 + 3 i - 1 \cdot 3$

Multiply $- 1$ by $3$ .

$2 i - 6 + 3 i - 3$

$2 i - 6 + 3 i - 3$

Step 2

Simplify by adding terms.

Add $2 i$ and $3 i$ .

$- 6 + 5 i - 3$

Subtract $3$ from $- 6$ .

$- 9 + 5 i$

$- 9 + 5 i$

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