Try to do a Kirchhoff's second law loop. Something useful for me when dealing with electricity questions was learning the correct definition of Kirchhoff's second law, where the some of all p.ds in any loop = 0.
There's three (or four if you could consider the parallel component as one part) potential loops for this circuit. The equation for one going through the 4 ohm resistor and resistor R would be:
6 - 4I1 - RI2 = 0
Basically, find the single loop or path in the circuit that leaves I1 as the only remaining variable.