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Preheat oven to 350°F. Line muffin pans with 15 liners.
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In large bowl, combine flour, salt, baking soda and cinnamon.
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In mixing bowl, beat sugar, oil and vanilla extract.
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Gradually add the dry ingredients to the oil and sugar mixture and mix until combined.
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Add in eggs and applesauce, mixing well between each addition.
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Fold in diced apples and walnuts.
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Divide batter between muffin liners and sprinkle with brown sugar.
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Bake for 20-25 minutes, until toothpick inserted into center comes out clean.