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In the endgame the king becomes an active fighting piece. Bring it to the centre and use it with your pieces and pawns.
You must know the basic checkmates. With a king and queen against a king, drive the enemy king to the edge, bring your king close, and finish with a queen move next to the king while it is protected. Watch out for stalemate.
Other key ideas: rooks belong behind passed pawns, and the opposition (kings facing each other with one square between) decides many pawn endgames.
Checkmate the black king with your queen.
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