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This simplifies to:

The center of the ellipse is shifted to the left 5 in the x-direction, and up 3 (in the y-direction). So the center is (-5,3).

The major axis is given by twice the square root of the largest denominator, in this case 2*sqrt(16) = 8

The minor axis is given by twice the square root of the smallest denominator, in this case 2*sqrt(2) or sqrt(8)

And the distance from center to focus is given by the sqrt(4^2 - sqrt(2)^2) = sqrt(14). Final answer:

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