If (x(1), y(1), z(1)), (x(2), y(2), z(2)...

If `(x_(1), y_(1), z_(1)), (x_(2), y_(2), z_(2))` and `(x_(3), y_3), z_(3))` are the vertices of an equilateral triangle such that `(x_(1)-2)^(2)+(y_(1)-3)^(2)+(z_(1)-4)^(2)=(x_(2)-2)^(2)+(y_(2)-3)^(2)+(z_(2)-4)^(2)=(x_(3)-2)^(3)+(y_(3)-3)^(2)+(z_(3)-4)^(2)` then `sum x_(1)+2sumy_(1)+3sum z_(1)=`

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