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Tim takes out a loan of L and agrees to pay it back in equal size monthly payments over the next 25 years. Payments of

Tim takes out a loan of L and agrees to pay it back in equal size monthly payments over the next 25 years. Payments of size 500 are made at the end of each month and Tim is charged an annual nominal rate of 12% compounded monthly. Over the 25 years, how much interest in total does Tim end up paying back on the loan? Give your answer rounded to the nearest whole number.

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