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In the top of a double boiler (or in bowl in a microwave), melt butter and chocolate.
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Remove from heat.
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Beat in sugar.
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Add eggs, beat until bubbles form (this step is really important-keep beating until you get bubbles).
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Add vanilla.
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Stir in flour, baking powder, and salt.
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Spread in a greased 8x8-inch pan.
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Bake for 30-35 minutes at 350°F.
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Options: add some yogurt or applesauce for moister brownies. Stir in some chocolate chips and/or raisins (soak the raisins in water and drain, before adding) at the end.