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total inductance of bucking coils

I need to be able to calculate the total inductance of two coupled coils
when one coil is wound in reverse. I have a Boylestad's Introductory Circuit
Analysis (old - 6th edition) that has a section covering this but I have run
into a problem because there seems to be some circular reasoning in defining
the equation (#1). (I have used brackets in place of subscripts.)

Inductance of two coupled, bucking coils:
1) L[T-] = L[1] + L[2] - 2M[1,2]

2) M = .25( L[t+] - L[t-] )

3) L[t+] = L1 + L2 +...

total inductance of bucking coils

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