Quiz (1 point)
Prove that:
(a + b) ⋅ c = (a ⋅ c) + (b ⋅ c)
The following properties may be helpful:
    - (b + c) ⋅ a = (a ⋅ b) + (a ⋅ c)
 - a ⋅ b = b ⋅ a
 - a ⋅ b = b ⋅ a
 if the following are true:
- a = b
 - c = d
 
then a + c = b + d
if the following are true:
- a = b
 - b = c
 
then a = c
Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.