Find the sum or difference. Write the answer in standard form.

(4 - 7i) + (-8 + 2i) + 2i

To solve the expression \((4 - 7i) + (-8 + 2i) + 2i\), follow these steps:

### Step 1: Group the real and imaginary parts
- Real parts: \( 4 + (-8) \)
- Imaginary parts: \(-7i + 2i + 2i\)

### Step 2: Perform the addition
- Real part: \( 4 + (-8) = -4 \)
- Imaginary part: \(-7i + 2i + 2i = -7i + 4i = -3i \)

### Step 3: Write the answer in standard form
The result is:
\[
-4 - 3i
\]

Would you like more details or have any questions?

Here are 5 related questions for practice:
1. What is the sum of \((3 + 5i) + (-2 - 4i)\)?
2. Find the difference: \((6 - 3i) - (4 + 2i)\).
3. Add \((2 - 6i)\) and \((-5 + 3i)\).
4. Subtract \((-3 + 7i)\) from \((4 - 8i)\).
5. What is the sum of \((10 - 2i) + (7 + 5i) + (-3 - i)\)?

**Tip:** Always group real and imaginary parts separately when adding or subtracting complex numbers.

Learn how to add complex numbers with the expression (4 - 7i) + (-8 + 2i) + 2i. This solution uses the commutative and associative properties to combine real and imaginary parts, making it suitable for students in Grades 9-12 studying complex numbers.

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