Find parametric equations for the line through the point (0, 1, 2) that is parallel to the plane x + y + z = 2 and perpendicular to the line x = 1 + t, y = 1 - t, z = 2t.  (the solution should be x = 3t, y = 1 - t, z = 2 - 2t, I just need the steps explained clearly in typefont, thank you!)

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