Phrases Making Plans and Invitations

I'm afraid I'm otherwise engaged.

Meaning

I'm busy with other commitments.

Translation language

John: Are you free for a meeting on Friday?
Alice: <b>I'm afraid I'm otherwise engaged</b> that day.
John: Oh, okay. How about Monday then?
Alice: Let me check...unfortunately, <b>I'm afraid I'm otherwise engaged</b> on Monday as well.