Hello, I am Yoshi from NILS Japanese language school. Let’s learn Japanese language with us!
[N (place)で V] *N refers to a noun, and V refers to a verb.
When added after a noun denoting a place, で indicates the place where an action occurs.
(Example)
駅（えき）で　新聞（しんぶん）を　買（か）います。
I buy the newspaper at the station.
*新聞（しんぶん）：　newspaper

[V ませんか]
When you want to invite someone to do something, this expression is used.
(Example)
いっしょに　京都へ　行きませんか。　　　—ええ、いいですね。
Won’t you come to Kyoto with us?　　　—That’s a nice idea.

[V ましょう]
This expression is ued when a speaker is positively inviting the listner to do something with the speaker. It is also used when responding positively to an invitation.
(Example)
ちょっと　休（やす）みましょう。　　　Let’s have a break.
いっしょに　昼（ひる）ごはんを　食べませんか。　　　—ええ、食べましょう。
Won’t you have luch with us?　　　—Yes, let’s go and eat.
*昼ごはん：　lunch

Note that an invitation using V ませんか shows more consideration to the listner’s will than that using V ましょう.

July 3rd News, from NILS Japanese language school.