Liam is preparing a mix of fruit juices for a party. He uses 8 liters of orange juice, 6 liters of apple juice, and 4 liters of grape juice. For every 2 liters of orange juice, he adds 1 liter of water, and for every 3 liters of apple juice, he adds 1 liter of water. How many liters of water does Liam need in total? Let's think step by step and output the final answer within \boxed{}.
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