Prove: $($p $$q$)($p $$ q$)($p $$ q$)($p $$q$)$ Using logical equivalences

follow format shown in lecture, for example:

p$($q$$r$)$ p$($q$$r$)$ Given

p$($q$$r$)($p$$q$)($p$$r$)$ Distributive Law

$$ p$($q$$r$)($q$$p$)($r$$p$)$ Associative Law