Mia and Liam are running a race. Mia can run 100 meters in 12 seconds, while Liam can run the same distance in 14 seconds. If they both start at the same time, how much of a head start (in meters) would Mia need to give Liam for them to finish at the same time in a 200-meter race? Let's think step by step and output the final answer within \boxed{}.
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