I agree with all of what Jeff B advises, with the exception of: "......ensuring that both throttle cables are lubricated ...."
To lubricate or not to lubricate????
You need to know what sort of cable is being used - many modern cables have Teflon (or similar) linings, which may be adversely affected by most lubricants ie lubrication may make them more prone to binding.
I also have reservations about this statement; "I sync at 2000 and 4000 RPM, and if can’t get them both perfect, I split the difference."
Carb balancing is best done at low engine rpm (I use high idle 2500 rpm) as this is where the inlet manifold vacuum is high and differences between the carbs will show up most.
Once balanced, at low rpm, the prudent pilot/maintainer will observe any changes to the balance as the engine speed is increased/decreased - 5000 rpm +.
It is quite common for small differences, in balance, to be observed as the engine speed rises/falls. Often the difference will be seen to resolve itself (catch up). On repeat throttle movement, may not appear at the same rpm point. These differences are most likly due to throttle cable binding (frictional differences').
If the difference is small and or catches up - leave as is, the carb balance tube will accommodate this.
If the difference is significant & repeatable at the same rpm point - might be best to replace the throttle cable.
Note; Cables should have large radius bends. Small bends will promote binding and accelerate wear. 😈