Another angle: "nyepong" might be a mistranslation of a foreign word. For example, "sexting" in English, but spelled phonetically in Indonesian. If "nyepong" is referring to sexting (mengirim pesan seksual), then the scandal could be about a teacher involved in sending or receiving explicit messages. Then "keluarin di mulut" would mean verbalizing or speaking about it. But that's a stretch.