The correct answer is (c).
The distributive law for multiplication over addition states that the product of an integer and a sum is the sum of the products of the integer and each addend. In other words, for any integers $a$, $b$, and $c$, we have $$a(b+c) = ab + ac.$$
Option (a) is incorrect because it does not distribute the multiplication over the addition. Instead, it distributes the addition over the multiplication. This is not the distributive law.
Option (b) is incorrect because it is not a distributive law. It is simply the commutative law of multiplication, which states that the order in which two integers are multiplied does not matter.
Option (c) is the correct answer because it is the distributive law for multiplication over addition.
Option (d) is incorrect because it does not distribute the multiplication over the addition. Instead, it distributes the addition over the multiplication. This is not the distributive law.