Question: Equation of a line (6)

Let A(1, -1, 3) is a point; (P): x + y + 5z = 0 be a plane; (l): x= 2t, y = -5t, z = 6t be a line. Write the equation of a line Delta parallel to the plane (P) and has a distance to (l) equal to 1.

I was thinking about this problem many times but i can not write code for this problem by geometrical methods. Please help me. Thank you very much. 

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