each other = one another = se, nos, uno al otro, mutuamente, unos a otros.

Nota: No confundir con los pronombres reflexivos ourselves / themselves.

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• We love. (Nosotros) amamos.
• We love ourselves. Nos amamos (a nosotros mismos).
• We love each other. Nos amamos (mutuamente).
• We love one another. Nos amamos (mutuamente).

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• They hate. (Ellos) odian.
• They hate themselves. Se odian (a sí mismos).
• They hate each other. Se odian (mutuamente).
• They hate one another. Se odian (mutuamente).

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• Jane and I write.
  Jane y yo escribimos.
• Jane and I write to ourselves.
  Jane y yo nos escribimos (a nosotros mismos).
• Jane and I write to each other.
  Jane y yo nos escribimos (mutuamente).

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• Jane and John see.
  Jane y John ven.
• Jane and John see themselves.
  Jane y John se ven (a sí mismos) -en un espejo quizás-
• Jane and John see each other.
  Jane y John se ven (mutuamente).

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• I know her and she knows me. We know each other.
  Yo la conozco y ella me conoce a mí. Nos conocemos.
• The three brothers had not seen each other for decades.
  Los tres hermanos no se habían visto por décadas.
• The two actors looked at each other and started laughing.
  Los dos actores se miraron y comenzaron a reírse.
• We hated one another, but now we are good friends.
  Nos odiábamos, pero ahora somos buenos amigos.
• We promised to love each other for ever.
  Nosotros prometimos amarnos para siempre.