moving to PA on paper but staying in NJ in order to get 5% down

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im in north jersey and was thinking if this might be a good move. 

i would move to PA on paper changing all docs needed. I then will stay in NJ and work in NJ but would this allow me to buy a place putting 5% for living in the property? because if not than i would have to put 25% down and that i cant do.