What is the meaning of ないで?

Do not do something and ~

Because not doing something ~

Without doing ~

"Verb + ないで + ください or くれ": Please do not do ~

Short form of the above

"Verb + ないで + 欲しい": I want you not to do ~

"Verb + ないで + もらう": I will have you not to do ~

"Verb + ないで + おく": I do not do ~ (in advance); I leave ~ (in a state) without doing ~

Source: wiktionary.org