To solve \((5 - 6i) + (9 + 9i)\), we simply add the real and imaginary parts separately.

1. Add the real parts:  
\(5 + 9 = 14\)

2. Add the imaginary parts:  
\(-6i + 9i = 3i\)

So, the result is:
\[
14 + 3i
\]

Would you like more details or explanations?

Here are 5 related questions to explore:

1. How do you subtract two complex numbers?
2. What is the magnitude of a complex number?
3. How do you multiply two complex numbers?
4. Can you explain how to divide complex numbers?
5. How do you represent a complex number in polar form?

**Tip:** When adding or subtracting complex numbers, always treat the real and imaginary parts separately.

Explore how to add the complex numbers (5 - 6i) and (9 + 9i). This step-by-step solution breaks down the process of adding real and imaginary parts separately. Suitable for students in Grades 10-12, this example demonstrates core concepts in complex number operations.

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