a piece of evidence that clearly proves guilt
有罪を明確に証明する証拠 (yūzai o meikaku ni shōmei suru shōko)
"The email was the smoking gun in the corruption case."
"そのメールは腐敗事件の中で決定的証拠でした。" (Sono mēru wa fuhai jiken no naka de **ketteiteki shōko** deshita.)
to go out and enjoy with friends
to feel encouraged or more confident
to join an activity quickly
to help someone improve their situation or get an advantage
when anger becomes too much to control
to begin a process that will develop in the future