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## Homework Statement

Im looking at this example and trying to figure out how they showed it was associative.

They start out with x*y=x+y+1

then they add in z to show it is associative.

x*(y*z)=x*(y+z+1)=x+(y+z+1)+1=x+y+z+2

I dont know how they go from

this x*(y+z+1)=x+(y+z+1)+1

and end up with the equation on the right.

If i solved for x from x*y=x+y+1 and plugged it in I wouldn't get what they got.

Maybe there is some trick that I am missing.