How did valentine win her and ender's freedom from peter? what does valentine intend to do?

The best answer for this statement would be:

In the story, Valentine had signed up both of them to leave earth and explore the nature of the colony. She had wanted to start her own colony by observing how the supposed colony would be.

Valentine had signed up both of them to leave earth and explore the nature of the colony. She had wanted to start her own colony by observing how the supposed colony would

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