1. **State the problem:** We want to find which expressions are equivalent to $$-6n + (-12) + 4n$$. 2. **Simplify the original expression:** Combine like terms. $$-6n + 4n + (-12) = (-6n + 4n) - 12 = -2n - 12$$ 3. **Check expression A:** $$4(n-3) - 6n$$ Distribute: $$4n - 12 - 6n = (4n - 6n) - 12 = -2n - 12$$ This matches the simplified original expression. 4. **Check expression B:** $$2(2n - 6)$$ Distribute: $$4n - 12$$ This is not equal to $$-2n - 12$$. 5. **Conclusion:** Expression A is equivalent, expression B is not, so option C (None of the above) is incorrect. **Final answer:** Only expression A is equivalent to $$-6n + (-12) + 4n$$.