What does the multiplication principle tell you?

A. Multiplying one side and dividing the other side
keeps the equation the same because multiplication and division are opposite
operations.
B. If you divide one side by a number, you have to
multiply the other side by the reciprocal to keep the equation the same.
C. If you multiply one side by a number, you need to
multiply the other side by twice the number to keep the equation the same.
D. Dividing both sides of the equation by the same
number does not keep the equation equal.
E. If you multiply or divide one side of an equation,
you have to multiply or divide the other side by
the same number to keep the equation the same.