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n a bowl, mix together the sugar, butter, and applesauce. I used raw sugar so it looks a little brown.
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Add in the remaining ingredients, mix well so you don't have any clumps of banana or flour left in the batter.
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Pour the batter into a greased 9x9 (or equivalent) baking dish. Bake at 350 degrees for about 35 to 40 minutes or until a toothpick inserted into the center of the cake comes out clean.
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Enjoy plain or with your favorite frosting recipe!