To solve the expression \((5 + 5i) - (-7 - 6i)\), follow these steps:

1. Distribute the negative sign across the second complex number:
   \[
   (5 + 5i) - (-7 - 6i) = 5 + 5i + 7 + 6i
   \]

2. Combine the real parts and the imaginary parts:
   \[
   (5 + 7) + (5i + 6i) = 12 + 11i
   \]

So, the result is \(\boxed{12 + 11i}\).

Would you like more details or have any questions? Here are some related questions you might find useful:

1. How do you multiply two complex numbers?
2. What is the conjugate of a complex number, and how is it used?
3. How do you find the modulus (absolute value) of a complex number?
4. What happens when you add a complex number to its conjugate?
5. How do you represent complex numbers on the complex plane?

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

Explore the step-by-step process to subtract two complex numbers, (5 + 5i) - (-7 - 6i). Learn how to distribute the negative sign and combine real and imaginary parts, with the final answer being 12 + 11i. Perfect for students in Grades 9-10 studying Algebra and Complex Numbers.

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