This is the same approach i take. My left arm is the same size as my right, but thats because the bicep is shaped differently. Overall its slightly weaker. When doing unilateral lifts, i do whatever it takes to get that left arm to match the right.
Whether its using body english, dropping the DB from my right hand and using it to assist the left. Just find some way to make your left move the same weight the same (or more) amount of times as the right.
In my (and i think many other lifters) experience, you will likely always have one arm slightly weaker than the other, but you can definitely make it so no one else will ever notice.