Equate The Math

Find the mistake in the below maths equations

A = 2
A(A-1) = 2(A-1)
A2-A = 2A-2
A2-2A = A-2
A(A-2) = A-2
A = 1




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In Canada, a mathematical puzzle must be solved in order to win the lottery to classify it as a “game of skill” not gambling.