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follow someone or something out
to go out right after someone or something. I followed her out and asked her if I could take her home. The dog followed Billy out and went to school with him.
Bring to a conclusion, carry out. For example, The second volume simply followed out the theories presented in the first, or He instructed them to follow out their orders to the letter. This idiom is dying out. [Mid-1700s]
1. To fulfill something, especially a command or request; carry something out: The colonel expected the troops to follow out every order without question.
2. To exit a location by following someone or something: The fans followed the movie star out of the studio.