to admit you were wrong and stop arguing
признать, что вы были не правы, и прекратить спорить (priznat', chto vy byli ne pravy i prekratit' sporit')
"She refused to back down even after realizing her mistake."
"Она отказалась back down, даже осознав свою ошибку." (Ona otkazalas' **back down**, dazhe osoznav svoiu oshibku.)
to complete expense reports by attaching proof
to be promoted to a higher position
to gradually develop confidence in yourself
to start selling in new regions or countries
to be a candidate in an election
to take strong measures to stop corruption