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Well… I guess it would be the home location ‘a’ subtracted by the player location ‘b’ = a-b or home-player. 
because we are going back toward x=0
Since we are either moving forward or backward to get home it would be home location - player location (a-b)
edit: misunderstood the question originally. We would need to subtract from the player location and add in the direction of the home.
