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With 18 teams, a 154-game schedule would work perfectly: 14 against each divisional opponent and 7 against each nondivisional opponent.
Expanding it to 162 would likely involve:
14 against divisional opponents
9 against 4 of the nondivisional opponents
7 against the other 8 nondivisional opponents
With 12 teams, 154 games...
22 against each divisional opponent
11 against each nondivisional opponent
12 teams, 162 games...
22 against each divisional opponent
11-12 against each nondivisional opponent
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