I do heavy weight lifting 5 times per week, and when I think back over all the times I have taken discs off the machines, carried them around to other machines, put them on the ground and so on, I have always used my right arm.
Should I be concerned about losing a balance between the strength in my right and left side if I continue to transport equipment using only one arm? Or will the actual workouts maintain that? I've been trying to make a habit of alternating my arms but it's surprisingly easy to forget about it once you've gotten into the workout.
I do feel as though my right side is slightly stronger than my left, but so far I have assumed this is natural because I am right handed.