ANSWER
Brayden should have expanded the parenthesis first.
EXPLANATION
The expression Brayden is trying to simplify is

To simplify this expression, the first thing to do is to expand the perfect square to obtain:

We can now distribute the negative to the terms in the parenthesis.

Answer:
1/3 (6p-3) + 1/7 (7p+14)
1/3*6/1p + 1/3*3/1 + 1/7*7/1p + 1/7*14/1
6/3p + 3/3 + 7/7p + 14/7
3p + 1 + 1p + 2
3p + 1p + 1 + 2
4p + 3
Step-by-step explanation:
1/3 (6p-3) + 1/7 (7p+14)
1/3*6/1p + 1/3*3/1 + 1/7*7/1p + 1/7*14/1
6/3p + 3/3 + 7/7p + 14/7
3p + 1 + 1p + 2
3p + 1p + 1 + 2
4p + 3
If each ribbon will be 3.68 inches, and she needs 1000 ribbons, then multiply the two to find the total length of ribbon she needs.
3.68 x 1000 = 3680
So she will need 3680 inches of ribbon in total