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Heat a non-stick pan over medium heat.
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Add in the butter and/or oil and spread it in the pan.
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Add in the garlic and let it become fragrant for 20 seconds or so.
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Add in the cabbage and cook, stirring frequently, until it softens, about 3-5 minutes. I like to cook mine until it is beginning to caramelize, which can take a minute or two longer.
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Spread the cabbage out in a thin layer.
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Pour in the eggs, tilting the pan a bit to spread them out.
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Let the eggs cook for about 15-20 seconds and then fold them over gently until they are cooked through.
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Remove from heat and serve immediately!