1. **State the problem:** Calculate the value of the expression $10 + (27 \times 3 \times 12) - 6 \times 4$. 2. **Recall the order of operations:** We perform multiplication and division before addition and subtraction. 3. **Calculate the multiplication inside the parentheses:** $$27 \times 3 = 81$$ $$81 \times 12 = 972$$ 4. **Calculate the multiplication outside the parentheses:** $$6 \times 4 = 24$$ 5. **Substitute the calculated values back into the expression:** $$10 + 972 - 24$$ 6. **Perform the addition and subtraction from left to right:** $$10 + 972 = 982$$ $$982 - 24 = 958$$ 7. **Final answer:** $$\boxed{958}$$