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Heat oil in a 3-1/2 quart sauté pan over medium heat.
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Add onion and garlic.
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Cook, stirring often, until onion is soft but not browned, about 4- 5 minutes.
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Add rice.
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Cook, stirring, until grains look opaque, about 2- 3 minutes.
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Add broth, wine and frozen peas.
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Stir to combine.
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Increase heat to medium-high, cover and bring to a boil, stirring often.
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Reduce heat to low and simmer, uncovered.
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Stir occasionally.
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Cook until rice is tender and almost all of the broth has been absorbed, about 25- 30 minutes.
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Rice should be tender but not mushy.
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Remove from heat.
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Add cheese and stir to combine.
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Season with salt and pepper if desired.
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Serve warm, with additional grated cheese to top if desired.