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right hand
right-hand side; right-hand direction; (on) the right
「右手」 has another reading with different meanings.
右手に鉛筆を持って文字を書く。
I hold a pencil in my right hand and write.
握手をするときは右手を差し出す。
When shaking hands, you extend your right hand.
右手を怪我して箸が持てなくなった。
I injured my right hand and couldn't hold chopsticks.