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Can you pay the entire balance within 9 months? If, so, yes.
That would be about $315 a month for 9 months plus the BT fee. In that short of a time period how much interest would you actually save? Most of the time moving debt around doesn't end well and I don't trust any CCC with BTs/checks. To be extra safe you would need to PIF by 8 months anyway. IMHO I would just say no and use the debt snowball or similar program to clean up the debt.