1. **State the problem:** Evaluate the expression $$2[-20 + (-9) + (-3) - 2] + 5$$. 2. **Understand the expression:** This is a combination of addition and multiplication inside brackets, followed by multiplication by 2 and then addition of 5. 3. **Calculate inside the brackets first:** $$-20 + (-9) + (-3) - 2 = -20 - 9 - 3 - 2$$ 4. **Add the numbers step-by-step:** $$-20 - 9 = -29$$ $$-29 - 3 = -32$$ $$-32 - 2 = -34$$ 5. **Substitute back into the expression:** $$2[-34] + 5$$ 6. **Multiply:** $$2 \times -34 = -68$$ 7. **Add 5:** $$-68 + 5 = -63$$ **Final answer:** $$-63$$