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There are several organizations that match the name "Alcoholics Anonymous"
The IRS provides online Version of Publication 78 to search for eligible charities - http://www.irs.gov/app/pub-78/
Here are search results - http://www.irs.gov/app/pub-78/search.do?nameSearchTypeStarts=false&names=Anonymous&nameSearchTypeAll=false&city=&state=All...&country=USA&deductibility=all&dispatchMethod=search&submitName=Search
If you made cash contribution to any of listed organization - your contribution is deductible.
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You are absolutely clear and I am not feeling as being cheated.
I wish you the best.