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True or False?
For all reals k,k,k, there exist reals x,y,x,y,x,y, and zzz satisfying xy+z+yz+x+zx+y=k.\frac{x}{y+z}+\frac{y}{z+x}+\frac{z}{x+y}=k.y+zx+z+xy+x+yz=k.
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