Can the goalie leave the goalie box to distribute the ball to another teammate?

Yes, Only inside the penalty box

Explanation:

The Goalkeeper IS allowed to go outside the Penalty Box and dribble or kick the ball back inside the Penalty Box and THEN pick it up with his hands. The line that defines the Penalty Box is part of the Penalty Box, so if the ball is touching the line it is defined as being inside the Penalty Box).

answer; /// i believe that the correct answer is (adhere to the state);

i say that the answer is 'd'