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Preheat the oven to 375°F Lightly butter of spray the bottom and sides of a 9 inch loaf pan.
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place the butter and sugar in a large mixing bowl and beat with an electric mixer on low speed for 1 minute or until the sugar is completely mixed into the butter. Add the eggs and mix for 1 minute, or until the batter is smooth. Add the bananas and mix for 1 minute or until no large chunks remain. The batter will be lumpy but the pieces of banana should all be 1/2 inch or smaller.
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Add the baking soda and salt and mix on low speed for 1 minute or until combined. Add the flour and mix on low speed for 1 minute, scraping the sides of the bowl occasionally, until all of the flour is incorporated.
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Stir in walnuts. (optional).
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Pour the batter into the loaf pan and bake for 15 minutes. Reduce the oven heat to 350 F and bake for 45 minutes or until a toothpick inserted in the center of the loaf comes out clean.
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Remove the bread from the pan and place it on a cooling rack. (If you let the bread cool in the pan the bottom will become soggy.).