1. **State the problem:** Simplify the expression $$-27 + 18 - (10 - 14) - (-2)$$. 2. **Recall the rules:** - When subtracting a parenthesis, change the sign of each term inside. - Double negatives become positive. 3. **Simplify inside the parentheses:** $$10 - 14 = -4$$ 4. **Rewrite the expression:** $$-27 + 18 - (-4) - (-2)$$ 5. **Change subtraction of negatives to addition:** $$-27 + 18 + 4 + 2$$ 6. **Perform the addition and subtraction from left to right:** $$-27 + 18 = -9$$ $$-9 + 4 = -5$$ $$-5 + 2 = -3$$ **Final answer:** $$-3$$