This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
-2 - 4i
Step 1: Identify the complex numbers to be added. The problem is to add and .
Step 2: Group the real parts and the imaginary parts. When adding complex numbers, we add the real parts together and the imaginary parts together. The real parts are and . The imaginary parts are and .
Step 3: Add the real parts.
Step 4: Add the imaginary parts.
Step 5: Combine the results to form the final complex number. The solution is:
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Identify the complex numbers to be added. The problem is to add (3+i4) and (-5-i8).
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.