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Preheat oven to 350 degree F.
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Butter and flour a regular sized 9 x 5 or similar sized loaf pan or spray with non-stick cooking spray.
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Mix bananas, butter, sugar, egg, and vanilla together with your mixer.
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Sprinkle baking soda and salt around on top of the banana mixture. Then gently stir in flour. Be careful not to over-mix.
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In a small dish, mix together the 1/3 cup sugar and 1 Tbs cinnamon.
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Add 1/2 of the batter to the loaf pan and then sprinkle half, or a little more than half of the cinnamon-sugar mixture all over the batter in the pan. Add the rest of the batter, and then sprinkle the leftover cinnamon-sugar mixture on top.
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Bake for 50-60 minutes, but check it regularly at the 50 minute mark so that it doesn't cook too long!