while checking out some solved examples of boolen function simplification i stumbled upon this line

A'(C+A'B'C+1)+C'=
and next line A'+C'

now i cant seem to figure out what happened to the stuff in brackets. it must be some rule i missed or something and now i cant find it to save my life.

 

This is simple! The bracket (C+A'B'C+1) always equals 1 because it is an OR gate with one input always held at 1. Thus what is left is A'+C'

 

its an or gate. yes yes sorry for dumbness of question and thanks for quick reply