1. Preheat the oven to 350°F (175°C) and grease a 9×9 inch baking pan.
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2. In a large bowl, sift together the flour, cocoa powder, sugar, and baking soda.
3. Add the mayonnaise, water, and vanilla extract to the dry ingredients and mix until well combined.
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4. Pour the batter into the prepared baking pan and smooth the top with a spatula.
5. Bake for 30-35 minutes, or until a toothpick inserted into the center comes out clean.
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