To determine which expressions are equivalent to \[-6+4q+(-6q)\], first simplify the given expression.
Starting with the given expression \[-6+4q+(-6q)\], we can combine like terms by adding the coefficients of q.
The expression can be rewritten as \[-6q+4q-6\].
Combining the terms, we get \[-2q-6\].
Now, let's compare this simplified expression with the answer choices.
A) \[-6(q+1)-4q\]:
Distributing -6 into (q+1), we get \[-6q-6-4q = -10q - 6\].
This expression is not equivalent to \[-2q-6\], so Choice A is not correct.
B) \[2(q-3)\]:
Distributing 2 into (q-3), we get \[2q-6\].
This expression is equivalent to \[-2q-6\], so Choice B is correct.
Therefore, the answer choices that apply are:
- Choice B: \[2(q-3)\]