Question: Equation of a line (7)

Let (d1): x = 2*t +1, y = t-2, z =-2*t+2 and 

(d2): x = 2-m, y = 3+m,z = 4+m 

be two lines and (P): x - y + z - 6 = 0 be a plane. Write the equation of the line (Delta), knowing that (Delta) parallel to (P) and cuts (d1), (d2) at the points M and N, respectively so that MN = 3*sqrt(6).

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