In the leadership of both parties in congress, certain members are responsible for legislative strategy, building support and coalitions for key issues, and informal vote counting. what is this role called?

The correct answer is Whip.

Explanation:

The whip is an officer in a political party whose main purpose is to ensure party discipline in a legislature. Whips are "executors" of a party, which typically offer incentives and threaten party members to ensure they vote according to official party policy. Role of a whip is also to ensure that the elected representatives of your party are present when important votes are taken. The use comes from the term hunting "whipping," that is, prevention of hounds from wandering away from the pack.

i guess you could put raise the economic balance