without doing~ ; To do [B] without doing [A]
Expresses doing an action without doing another action first.
This pattern is used when you want to say that you do something (B) without doing something else (A). It connects two actions or states, where the first action is not performed. The verb before ないで is in its plain negative form, but with で instead of ない. So 朝ごはんを食べないで学校へ行きます means you go to school without eating breakfast. It is a common everyday expression, used in both speaking and writing. Note that if the second part is a request or command, it can also mean 'please don't do ~', but that is a different usage. Here we focus on the 'without doing' meaning.