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1. Preheat oven to 325F. Grease and flour two 8 1/2 x 5 1/2 x 2 1/2 inch loaf pans (or you can use those mini loaf pans).
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2. Combine bran and milk in a small bowl and set aside to absorb.
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3. Stir together the eggs, sugar (including the date sugar), oil and vanilla in a medium-sized bowl until well mixed. Add bran mixture and stir.
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4. Combine the flours, soda, cinnamon, and coconut (if using) in a bowl, and then stir into the liquid ingredients until just evenly mixed. Stir in the apples and walnuts. The mixture will be thick and gloppy.
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Divide between the loaf pans.
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5. Prepare the topping by combine 2 tablespoons brown sugar and cinnamon in a small cup, and sprinkle over the loaves.
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6. Bake in the preheated oven at 325F for approximately 1 hour and 10 minutes. Check it with a tester inserted in the center and see if it comes out clean. Make sure it's done. Sometimes these take longer than the time specified.
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Let the breads cool in the pans on wire racks for 10 minutes. Run a thin knife around the edges of the pans. Remove the breads from the pans onto wire racks to cool.
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The breads are better the second day. Wrap them tightly in plastic wrap or foil and store at room temperature or in the fridge.