Of course, if keeping accounts open and having credit available could trigger additional spending and debt, it might be more beneficial to close the accounts. Only you know all the ins and outs of your financial situation, and like thumbprints, they're different for each person. Make sure you carefully evaluate your situation; only you know what can work best for your financial outlook.
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Scoring models consider how much you owe and across how many different accounts. If you have debt across a large number of accounts, it may be beneficial to pay off some of the accounts, if you can. Paying down your debt is the goal of many who've accrued debt in the past, but even after you pay the balance down to zero, consider keeping that account open. Keeping paid-off accounts open can be a plus in your overall credit mix since they're aged accounts in good (paid-off) standing. You may also consider debt consolidation.