Yosef Karo, Translation:Shulchan Aruch — Orach Chaim 27Laws Relating to the Place and the Manner in which Tefillin are Put On…
“ Paragraph 6 — A lefty who does all his work with his left hand puts his Tefillin on his "left hand" which is the right hand of all people. And if he uses both hands, he places them on the left of all people. If he writes with his right hand and does all other work with his left hand, or if he writes with his left hand and does all other work with his right hand, there are those who say to put the Tefillin on his weaker hand because we "need the weaker hand." ”
