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private affairs; personal matter
「私」 has other readings with different meanings.
私の用事で少し遅れます。
I'll be a little late due to a personal matter.
会社の電話を私に使ってはいけない。
You must not use the company phone for personal use.
私を捨てて公のために尽くすべきだと彼は言った。
He said one should set aside personal matters and devote oneself to public service.