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2x-y+2z=6
x-y+z=2
z=x+y
2x-y+2z=6
x-y+z=2
2x-y+2(x+y)=6
x-y+x+y=2
2x-y+2x+2y=6
2x=2
4x+y=6
x=1
4+y=6
y=2
z=1+2=3