我的家人在我争取赔偿的斗争中支持了我。

My family ___backed me ___up in my fight for compensation.

最后一位证人证实了其他人所说的事情发生了。

The last witness ___backed ___up what other people had said happened.

这些课程似乎很受欢迎，可能是因为这些课程的老师在那里支持和帮助学生。

These courses seem to have been popular, perhaps because the teacher of these courses was there to ___back ___up and help the students.