ANSWER:

Starting with the left hand side, replace portions of the expression with equivalent expressions until it has been reduced to p.  (Each section to be replaced is highlighted.)

(p (~(~p q))) (p q) (p (~~p ~q)) (p q)	by DeMorgan's Laws
(p (~~p ~ q)) (p q) (p (p  ~q)) (p q)	by Double Negative Law
(p (p  ~q)) (p q) ((p p )~q) (p q)	by Associative Law
((p p )~q) (p q) (p ~q) (p q)	by Idempotent Law
(p ~q) (p q) p (~q q)	by Distributive Law
p (~q q)p t	by Negation Laws
p tp	by Identity Laws