1. The problem asks to simplify the expression and classify the result as a real or imaginary number. If imaginary, specify if it is pure imaginary. 2. To simplify expressions with complex numbers, use the rules: - Add or subtract real parts separately from imaginary parts. - Multiply using distributive property and remember $i^2 = -1$. 3. Let's solve the first expression: $(-8 + 3i) + (-1 - 2i)$. 4. Add real parts: $-8 + (-1) = -9$. 5. Add imaginary parts: $3i + (-2i) = 1i$. 6. So, the simplified form is $$-9 + 1i$$. 7. Since it has a real part and an imaginary part, it is a complex number but not purely imaginary. 8. Summary: The result is $-9 + i$, which is a complex number (not purely imaginary). This is the first problem of the set; you can apply similar steps to the others.