1. **State the problem:** Simplify the expression $-(3i - 4) - (-8 - 6i)$ and write the answer in the form $a + bi$.
2. **Apply the distributive property:** Remove the parentheses by distributing the minus signs.
$$-(3i - 4) = -3i + 4$$
$$-(-8 - 6i) = +8 + 6i$$
3. **Rewrite the expression:**
$$-3i + 4 + 8 + 6i$$
4. **Combine like terms:** Group real parts and imaginary parts.
Real parts: $4 + 8 = 12$
Imaginary parts: $-3i + 6i = 3i$
5. **Final simplified form:**
$$12 + 3i$$
This is the expression in the form $a + bi$ where $a = 12$ and $b = 3$.
Simplify Complex 7733Ce
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