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Preheat oven to 375°F Grease muffin tin; set aside.
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In a medium bowl, whisk together the flour, baking soda, baking powder, baking soda, cinnamon and salt; set aside.
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In a large bowl, whisk together the eggs, sugars, applesauce and vanilla. Stir in the zucchini.
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Add the flour mixture to the wet ingredients, and stir to combine; do not overmix. Using a rubber spatula fold in the cranberries. Divide the batter evenly among the 12 cups.
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Bake, rotating the pan halfway through, until the muffins are golden, 25 to 30 minutes. Transfer the pan to a wire rack to cool for 10 minutes. Turn the muffins on their sides in their cups, and cool.
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Bread Variation: Follow instructions for muffins, transferring batter to a 9x5 loaf pan, buttered or sprayed with non-stick spray. Bake at 375 F, rotating the pan halfway through, 45-50 minutes. Transfer to wire rack to cool before serving.