The term of the new Prime Minister from LDP is equivalent to the remainder of Mr. Abe's term in office, after which there will be another leadership election.
ご質問ありがとうございます。
"The term of the new Prime Minister from LDP"=「自民党新総裁の任期」
（☆LDP=Liberal Democratic Party)
"is equivalent to"＝「は～と同じだ」
"the remainder of Mr. Abe's term in office,"＝「安倍さんの残任期間と。」
"after which"＝「それ以降」
"there will be another leadership election."＝「また総裁選がある。」
ご参考になると良いです！
アメリカ合衆国 
