The president could become a stronger bargainer with congress by increasing his popularity with the people. This is because the members of congress represent citizens and if citizens aren't happy then they're going to complain to their congressman and congresswomen. If they don't act on what their constituents want then they'll eventually be voted out of office for someone who will.
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an independent US government agency with responsibilities for enforcing US labor law in relation to collective bargaining and unfair labor practices.