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If you're stuck at level 7, the solution you've missed is probably double-checking the king.

Level 8 is about White to Move, ergo Black just moved — but there's only one black piece that could have just moved, make that case impossible.

Level 9, there's a certain place black's knight can't be while black is also in check.

Level 9: Abg whfg bar pregnva cynpr oynpx pna'g or, vg'f znal cynprf. Guvf bar vf nobhg gur purpxreobneq cnggrea naq ubj rnpu gvzr n xavtug zbirf, vg raqf ba n qvssrerag pbybe guna vg fgnegrq.