Here is the sentence again:

When Minori left Japan to study in the United States, she thought that she would miss her mother's delicious home cooking, however, after her first taste of a bacon cheeseburger, she didn't care if she ever returned to Japan.

She thought ... begins a complete sentence. She didn't care ... starts another complete sentence. Notice that these two sentences have no punctuation stronger than a comma connecting them, thus creating a comma splice, a major sentence error.

To fix the problem, you could put a semicolon after cooking. A semicolon is a strong enough mark of punctuation to connect two complete sentences.

Go to the next sentence.

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