If your opponent offers you a draw, try to work out why he thinks he's worse off.
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[Event "rated untimed match"] [Site "?"] [Date "????.??.??"] [Round "?"] [White "Unknown"] [Black "Unknown77"] [Result "1-0"] [Annotator "David Hayes"] [BlackElo "0"] [FEN "3q1rk1/r1nb2p1/2p1p2p/p1Pp3R/3P3P/3BN1P1/P2Q1P2/R5K1 w - - 0 1"] [SetUp "1"] [TimeControl "0"] [WhiteElo "0"] 1. Ng4 Qe7 2. Nxh6+ gxh6 3. Qxh6 { Black's king must feel a bit exposed. } 3... Ne8 ( { Black can try: } 3... Rf6 4. Qh8+ Kf7 5. Rh7# ) 4. Bh7+ Kh8 5. Bg6+ Kg8 6. Qh8# 1-0