Let x,y,x, y,x,y, and zzz be real numbers satisfying4(x2+y2+z2)=a,4(x^{2}+y^{2}+z^{2})=a,4(x2+y2+z2)=a,4(x−y−z)=3+a4(x-y-z)=3+a4(x−y−z)=3+aThe a equals
333
1131\dfrac{1}{3}131
444
111
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