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

Can you name some countries which do not have the alphabet 'A' in them?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

You bought me for dinner but never eat me. What am I?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

If nine thousand, nine hundred nine dollars is written as $9,909,
how should twelve thousand, twelve hundred twelve dollars be written?

If Rajina's daughter is my daughter's mom, who am I to Rajina?

Can you move 2 matchsticks to form four equal sized squares.

How many times can you subtract the number two from the number fifty?

Three friends decide to distribute the soda cans they had among them. When all of them had drunk four cans each, the total number of cans that remained was equal to the cans each one of them had after they had divided the cans.

Can you calculate the total number of cans before distribution?