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I personally agree with starting with the card with the highest interest rate. Pay as much as you can on it each month and the minimum payment due on all the rest until that card is paid off. Then you move on to the card with the next highest interest rate. Pay as much as you can on it each month and the minimum on all the rest. Keep on with that process until they are all paid off.
I just finished reading Financial Peace by Dave Ramsey and he suggests making a list of all your debts, listing from lowest owed to highest owed (don't pay attention to the interest rate). You start with paying off the lowest debt. You pay the maximum you can toward that debt each month and the minimum payment on all of the others. Then when that is paid off you move on to the next lowest debt and keep going through the process. He said he prefers this method because it gives you a more instant gratification of having paid off a debt and helps keep you more inspired.
Good luck!
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