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Oh, I forgot this case.

George1992

Note the difference between "на выходные" and "на выходных".
"на выходные" = "for the whole weekend". It is "for the period of time".
"на выходных" = "in...

First of all "выходные" is plural. It means usually last 2 days of the week, so it is plural.
"Выходной" is one of these days ("day off").
So:
'этот -> эти (for both)
в прошлом выходные -> в...