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Welcome to the forum. If you are talking about a Debt Management Program, where you get an interest reduction and up to 5 years to pay back the full principle, it won't affect your FICO score provided you arent revolving dbt on other CCs since you will loose the CL of this card from the totasl amount of redit you have when the account is closed. In that case, the pont loos will only be till your alances on the other CC accounts are PIF or reduced.
If they are going to to a Debt Settlement, where they reduce the principle that you owe, that will hurt your redit and you might wind up gettig sued or rippe off in the process so I wouldn't do it.