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Michael's bank contains only nickels, dimes, and quarters. There are 63 coins in all, valued at $4.85. The number of nickels is 1 short of

Michael's bank contains only nickels, dimes, and quarters. There are 63 coins in all, valued at $4.85. The number of nickels is 1 short of being three times the sum of the number of dimes and quarters together. How many dimes are in the bank?

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