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Heat oven to 350 degrees F.
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Grease one 8 X 8 inch cake pan.
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Mix together the flour, baking powder and salt, and then set aside.
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In a saucepan over low heat, melt the butter and unsweetened chocolate, stirring frequently until smooth.
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Remove the saucepan from heat and let cool.
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Beat the eggs and sugar together until light and fluffy.
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Mix in the cooled chocolate mixture, then mix in the Kahlua and the flour mixture.
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Spread the completed batter evenly in the cake pan and bake for 30-35 minutes or until a toothpick inserted in the middle comes out clean.
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Cool slightly, then brush the top of the brownies with about 1-2 tablespoons of Kahlua.
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Cut into squares and enjoy.