Quiz (1 point)
Prove that:
((((a + b) + c) + d) + e) + f = ((((a + e) + b) + d) + f) + c
The following properties may be helpful:
- (a + b) + c = (a + c) + b
- (a + b) + c = (a + c) + b
- (a + b) + c = (a + c) + b
- (a + b) + c = (a + c) + b
- (a + b) + c = (a + c) + b
if a = b, then a + c = b + c
if the following are true:
- a = b
- b = c
then a = c
if a = b, then a + c = b + c
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a = b
- b = c
then a = c
if a = b, then a + c = b + c
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.