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Line an 8" or 9" square pan with a sheet of aluminum foil extending 2' beyond 2 sides of the pan.
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Grate 1 tsp of the yellow zest from a lemon and squeeze 3 tbs. juice.
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Beat butter, salt, 1/2 tsp lemon zest and 1/4 cup sugar until creamy.
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On low speed, beat in flour until crumbly.
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Beat in about 1 tbs lemon juice until dough just holds together.
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Press dough into bottom of prepared pan.
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Refrigerate 15 minutes.
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Heat oven to 350°.
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Bake crust until golden, 20 to 25 minutes.
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Beat cheese with 2/3 cup sugar until smooth.
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Beat in eggs, 1/2 tsp lemon zest and 2 tbs. lemon juice.
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Pour over crust.
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Bake until cheesecake is firm and top puffs, 35 to 40 minutes.
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Cool completely.
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Refrigerate until cold.
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Let stand at room temperature 1 hour before cutting.
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Lift cheesecake out of pan using foil as handles.
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Cut into triangles.