Given a plane with the equation 5x-4y+3z=17 find an equation of a plane parallel to this plane
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The normal vector for the plane is < 3, -4, -6 >. The general equation of a plane is:

or

or
3( x + 1 ) - 4( y - 3 ) - 6(z + 8 ) = 0
or
3x - 4y - 6z = 33
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