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In stand mixer, cream together butter and sugar on medium speed.
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Lower speed and add in eggs, one at a time.
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Add in shredded zucchini.
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Mix flour, baking soda, baking powder, salt, cinnamon, and cocoa.
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Gradually add to zucchini mixture, beating well.
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Add in milk, vanilla, and nuts. Beat.
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Pour into greased 9x13 inch pan and bake for 1 hour at 350 degrees.