1. **State the problem:** Add and subtract the complex numbers: Add: $(-14 - 4i) + (-15 + 16i)$ Subtract: $(-14 - 4i) - (-15 + 16i)$ 2. **Recall the rule for adding and subtracting complex numbers:** Add or subtract the real parts and the imaginary parts separately. 3. **Addition:** $$(-14) + (-15) = -29$$ $$(-4i) + 16i = 12i$$ So, the sum is: $$-29 + 12i$$ 4. **Subtraction:** Subtract the second complex number from the first: $$(-14 - 4i) - (-15 + 16i) = (-14 - 4i) + (15 - 16i)$$ Add the real parts: $$-14 + 15 = 1$$ Add the imaginary parts: $$-4i - 16i = -20i$$ So, the difference is: $$1 - 20i$$ **Final answers:** Sum = $-29 + 12i$ Difference = $1 - 20i$