1. **State the problem:** Simplify the expression $6 - 6 \times 6 + 6 \div 6$. 2. **Recall the order of operations (PEMDAS/BODMAS):** - Parentheses/Brackets - Exponents/Orders - Multiplication and Division (from left to right) - Addition and Subtraction (from left to right) 3. **Apply multiplication and division first:** - Calculate $6 \times 6 = 36$ - Calculate $6 \div 6 = 1$ 4. **Rewrite the expression with these values:** $$6 - 36 + 1$$ 5. **Perform addition and subtraction from left to right:** - $6 - 36 = -30$ - $-30 + 1 = -29$ 6. **Final answer:** $$-29$$