Lois says any addition equation where the addends are all the same can be written as a multiplication equation. Is Lois correct or not and why

Lois is correct. This is because multiplication is repeated addition. It means that when your addends are just the same number but added several times, the sum is just equivalent to the product of that number times the number of times it was added. For example, 4+4+4 = 4*3 = 12.