I made a hasty exit and managed to open the gate.

我匆忙离场，设法打开了大门。

《柯林斯英汉双解大词典》

I shouted to him to open the gate.

我大声告诉他把大门打开。

youdao

He demanded of me to open the gate.

他要求我打开大门。

youdao

The lion known as Cous Cous somehow managed to open the gate, said Hadden, who was briefed by investigators.

NPR: Lion Killed Woman As She Was Cleaning Enclosure

Closer to the tourist centre, a 223-room Waldorf Astoria Jerusalem is set to open in 2013 near the Jaffa Gate.

BBC: Hip Jerusalem and historic Tel Aviv

She finally dragged him the three blocks back to her old home, yanked open the front gate, and kicked him into the yard.

NEWYORKER: Shauntrelle