1. **State the problem:** Calculate the value of the expression $$80 \div (|(-4)^3 + 10| - 14) + 12$$. 2. **Recall the order of operations:** Parentheses and absolute value first, then exponents, then division and addition. 3. **Calculate the exponent:** $$(-4)^3 = -64$$. 4. **Evaluate inside the absolute value:** $$-64 + 10 = -54$$. 5. **Apply the absolute value:** $$| -54 | = 54$$. 6. **Subtract 14:** $$54 - 14 = 40$$. 7. **Divide 80 by 40:** $$80 \div 40 = 2$$. 8. **Add 12:** $$2 + 12 = 14$$. **Final answer:** $$14$$.