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x 2 +y 2 +2z 2 =4x−2z+2yz−5
⟹(x 2 −4x+4)+(y 2 −2yz+z 2 )+(z +2z+1)=0
⟹(x−2) 2 +(y−z) 2 +(z+1) 2 =0
⟹x=2,y=z,z=−1
x−y−z=2+1+1=4
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