To simplify the expression $(3i - 7) + (8i - 2)$, we combine like terms.

1. Combine the imaginary parts: $3i + 8i = 11i$

2. Combine the real parts: $-7 - 2 = -9$

Putting it all together: $(3i - 7) + (8i - 2) = 11i - 9$

So, the simplified expression is: $11i - 9$

Would you like further details or have any questions?

---

Here are some related questions to explore:

1. How do we add complex numbers in general?
2. What would the result be if we subtract $(8i - 2)$ from $(3i - 7)$?
3. How can we visualize complex numbers on the complex plane?
4. What are some practical applications of complex numbers in mathematics?
5. How do we multiply two complex numbers, such as $(3i - 7)$ and $(8i - 2)$?

Tip: When dealing with complex numbers, remember that real and imaginary parts are combined separately, just like adding terms in a polynomial.