出るis driving me crazy, can someone help me out

So I know that 出る means to exit, to leave etc but then I learnt it also meant "to attend/enter". I manged to understand through this thread that

Placeを出る – to exit a place

Placeに出る – to appear in a place

But then 参加 means to participate which is kinda similar to に出る.

So when do I use each one of them?