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To get the last Friday of any date the query follows:

SELECT DATEADD(d,-1-(DATEPART(dw,GETDATE()) % 7),GETDATE())

How can I get the next friday?

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I've updated this answer to a similar question which takes @@DATEFIRST into consideration:

EDIT/CORRECTION:

SELECT DATEADD(DAY, 13 - (@@DATEFIRST + (DATEPART(WEEKDAY,GETDATE()) %7)), GETDATE())

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