A woman came to a market to sell some eggs. A first buyer took half her eggs plus ½ an egg. The same happened with the remaining eggs: a second buyer took half her eggs plus ½an egg. A third buyer took half of her remaining eggs plus ½ an egg. A fourth buyer took half of her remaining eggs plus ½ an egg. A fifth buyer took half of her remaining eggs plus ½ an egg. A sixth buyer took half of her remaining eggs plus ½ an egg. A seventh buyer took half of her remaining eggs plus ½ an egg. The woman then sold her last remaining egg to the eighth buyer. How many eggs were there initially if the woman never broke an egg?Show your steps.