to successfully finalize an agreement
успешно заключить сделку (uspechno zaklyuchit sdelku)
"After weeks of negotiation, they finally closed the deal."
"После недель переговоров они наконец заключили сделку." (posle nedel peregovorov oni nakonech zaklyuchili sdelku)
to hear something but quickly forget it
to act in a proud and confident way
To skip a class without permission
to make a first step towards achieving something, especially...
to trust someone completely
to describe something in an overly optimistic way