1. **State the problem:** Simplify the expression $-5 \times 6 + 4 \div 2 - (-8) \div 2 \times 4 + 8$ using PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). 2. **Apply multiplication and division from left to right:** - Calculate $-5 \times 6 = -30$ - Calculate $4 \div 2 = 2$ - Calculate $(-8) \div 2 = -4$ - Then multiply $-4 \times 4 = -16$ So the expression becomes: $$-30 + 2 - (-16) + 8$$ 3. **Simplify the subtraction of a negative number:** $$-30 + 2 + 16 + 8$$ 4. **Perform addition and subtraction from left to right:** - $-30 + 2 = -28$ - $-28 + 16 = -12$ - $-12 + 8 = -4$ 5. **Final answer:** $$\boxed{-4}$$