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How to Find inverse of this: (z,*) is a group with a*b=a+b+1 then inverse of a is?

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Identity Element = I
a*I = I*a = a
a = a + I + 1
I = -1

Inverse of a is a-1 
a*a-1 = I
a + a-1 + 1 = -1
a-1 = -( a+2 )
 

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