1. **State the problem:** Simplify the expression $|-11| + 4i^2 - 8(3 - 1)$. 2. **Recall important rules:** - The absolute value $|a|$ is the distance of $a$ from zero, so $|-11| = 11$. - The imaginary unit $i$ satisfies $i^2 = -1$. - Use the distributive property to simplify $-8(3 - 1)$. 3. **Simplify each part:** - $|-11| = 11$. - $4i^2 = 4 \times (-1) = -4$. - $-8(3 - 1) = -8 \times 2 = -16$. 4. **Combine all terms:** $$11 + (-4) + (-16) = 11 - 4 - 16$$ 5. **Simplify the sum:** $$11 - 4 = 7$$ $$7 - 16 = -9$$ **Final answer:** $$-9$$