The gum I was chewing got stuck in my friend's hair and we can't get it out.
Somehow my gum got caught in my friend's hair and it won't come out.
ーThe gum I was chewing got stuck in my friend's hair and we can't get it out.
「噛んでいたガムが友達の髪にくっついて取れない」
to chew で「噛む」
to get stuck で「くっつく・付着する」
can't get it out で「それが取れない」
ーSomehow my gum got caught in my friend's hair and it won't come out.
「なぜか私の（噛んでた）ガムが友達の髪に絡まって取れない」
to get caught で「引っかかる・巻き込まれる」
won't come out で「取れない」
ご参考まで！
The gum got stuck in my friend's hair and won't come out.
The gum got stuck in my friend's hair and won't come out.
The gum got stuck in my friend's hair は「ガムが友達の髪にくっついた」を意味し、and won't come out で「そして取れなくなった」という状況を表しています。
got stuck は「くっついて動かない」状態を示す表現です。
カナダ 
アメリカ合衆国 
