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Heat oven to 350 degrees F.
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Grease a 9x5 inch bread pan with a piece of bunched up wax paper.
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Put a little flour in the pan, then tilt and tap the pan to coat the sides with flour. Tap out the excess.
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Sift the flour, baking powder, baking soda, and salt into a mixing bowl and then set it aside.
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With an electric mixer, cream the butter in a separate bowl.
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Gradually beat in the sugar.
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One at a time, crack each egg into a small bowl and beat them into the creamed mixture.
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Blend in the vanilla extract.
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In another bowl, stir together the bananas and yogurt until well mixed.
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Blen the dry mixture and the banana mixture into the cream mixture in thirds, alternating dry and wet to help prevent the dry ingredients from clumping.
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Fold in the chopped walnuts.
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With a rubber spatula, scrape the batter into the prepared pan and smooth the top.
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Bake the bread on the center rack for 60-70 minutes, or until the top is goldent brown and a tester comes out clean.
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Cool the pan on a wire rack for 15 minutes.
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Remove the loaf from the pan and let it cool thoroughly before slicing.
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Enjoy!