To solve the expression [tex]\(6 + 8 \div (-4) - 6\)[/tex], we need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). Here are the steps:
1. Perform the division:
[tex]\[
8 \div (-4) = -2
\][/tex]
2. Substitute the result back into the expression:
[tex]\[
6 + (-2) - 6
\][/tex]
3. Perform the first addition:
[tex]\[
6 + (-2) = 4
\][/tex]
4. Perform the final subtraction:
[tex]\[
4 - 6 = -2
\][/tex]
So the final result of the expression [tex]\(6 + 8 \div (-4) - 6\)[/tex] is [tex]\(\boxed{-2}\)[/tex].
