In a table tennis tournament, every participant played every other participant exactly once. There were twice as many right-handed players as left-handed players. However, the number of games won by left-handed players was 40\% more than the number of games won by right-handed players. (Note: There were no ties and no ambidextrous players.) Find the total number of games played.

Let's think step by step and output the final answer within \boxed{}.
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