NFA that ends with 0 and doesn't have 11 after the first 0 So as the title says i m trying to find this NFA. So far i thought to make an NFA that "guesses" what comes after the first 0 and i got this:  

After some time trying to get rid of all the extra (7 !) states i put in i got to this beauty: 

But now i cant figure out how to get rid of the one extra state. Also if you have any tips on how to go to simpler NFA's instead of what i did (like a thought process for this problem) i would appreciate it a lot. Thank you
Simply remove state 2, and make a transition from 1 to 5 directly. This will get rid both of a state (state 2) and a connection (the epsilon connection)