1. **State the problem:** Simplify the expression $$6 \times (3 - 5 + (-2)) \div (-3)$$. 2. **Apply the order of operations (PEMDAS):** First, simplify inside the parentheses. 3. Calculate inside the parentheses: $$3 - 5 + (-2) = (3 - 5) + (-2) = -2 + (-2) = -4$$ 4. Substitute back into the expression: $$6 \times (-4) \div (-3)$$ 5. Multiply first: $$6 \times (-4) = -24$$ 6. Now divide: $$-24 \div (-3)$$ 7. When dividing two negative numbers, the result is positive: $$-24 \div (-3) = 8$$ **Final answer:** $$8$$