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Heat a 10-inch skillet over medium heat. Add the butter and oil. When the butter begins to foam, add the garlic and cook until golden brown, about 3 minutes. Stir in the anchovy paste, and then add the wine. Bring to a simmer, stirring, about 2 minutes. Add the green beans and toss to coat. Cook 2 minutes more, then add 1/2 teaspoon salt and remove from the heat. Serve immediately.