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Dear Mr XY,
I am really sorry for/I apologise for (not) ... I will do it better next time/I will focus on my studies from now on. I hope you... I want to start new and improve .... Thank you for giving me the option to ...
Yours sincerely,
XX
Vielleicht noch was als Entschuldigung anbieten (extra Essay whatever, Tafel putzen etc)
LG