Multi-Balance Puzzles

Put the digits 1-n, each used exactly once, into the grid so that:

1) no row or column contains exactly one digit,
2) every row or column that contains 2 or more digits contains a fulcrum,
3) each fulcrum is located where those weights would balance (equal torques on both sides).

A sample puzzle is shown below, with its solution:

digits 1-8:    

Each puzzle below has a unique solution. All puzzles copyright Erich Friedman, 2009.


digits 1-7:

digits 1-8:

digits 1-9:

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