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In a medium pot over medium-low heat, melt the butter.
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When butter is melted, add the flour and salt and stir until it comes together in a thick paste.
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Add 1 cup of milk and whisk until all the lumps are gone.
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Add the other 3 cups of milk and turn up the heat to medium-high. Continue to whisk until soup thickens, making sure to scrape the bottom as you stir.
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Add your steamed broccoli, stir, and serve.