7a+[4a-6b-(8a+2b)]

ok so you would get this

7a+[4a-6b-8a-2b]<--- distribute the negative

therefore
7a-4a-8b
3a-8b<---solution

To simplify the expression 7a + [4a - 6b - (8a + 2b)], you need to perform the following steps:

1. Distribute the negative sign inside the parentheses:
7a + [4a - 6b - 8a - 2b]

2. Combine like terms:
(7a + 4a - 8a) + (-6b - 2b)
(3a) + (-8b)

Hence, the simplified expression is 3a - 8b.

So, to solve this expression, you distribute the negative sign inside the parentheses and then combine like terms.