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She hurried so as not to be late.
Literal
She [topic-は] late-not [so that-ように] hurried went.
遅れないように ('so as not to be late') uses ~ないように for negative purpose. 急いで行った chains 急ぐ ('to hurry') with 行く ('to go') via the te-form — 'hurried and went.' The sentence shows a common real-world pattern: taking action to prevent an undesired outcome.