1. **State the problem:** Evaluate the expression $-4^2 + (-10) \times 2 \div (-2)$. 2. **Recall order of operations:** We follow PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). 3. **Evaluate the exponent:** Note that $-4^2$ means the negative of $4^2$, so calculate $4^2$ first: $$4^2 = 16$$ Thus, $$-4^2 = -16$$ 4. **Evaluate multiplication and division from left to right:** Calculate $(-10) \times 2 = -20$. Then divide by $-2$: $$-20 \div (-2) = \cancel{-20} \div \cancel{-2} = 10$$ 5. **Combine all parts:** $$-16 + 10 = -6$$ **Final answer:** $$\boxed{-6}$$