This whole idea of the Right Arm Takeaway is so much simpler than most people want to make it.
I remember a few years back how tough it was for many of us to perform something so simple. Clapping, Fanning, Lifting, Pick up- it was so foreign. The computer took some time to re-program. But it did.
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If you cannot take the shoulder down the clubshaft plane, you must take along some other path and add compensations - now, instead of one motion to remember, you wind up with at least two!