To simplify the expression [tex]\(8 \cdot (9 + 2) - 6 \div 2\)[/tex], follow these steps:
1. Evaluate the expression inside the parentheses:
[tex]\[
9 + 2 = 11
\][/tex]
2. Multiply the result by 8:
[tex]\[
8 \cdot 11 = 88
\][/tex]
3. Divide 6 by 2:
[tex]\[
6 \div 2 = 3
\][/tex]
4. Subtract the result of the division from the result of the multiplication:
[tex]\[
88 - 3 = 85
\][/tex]
Hence, the simplified value of the expression [tex]\(8 \cdot (9 + 2) - 6 \div 2\)[/tex] is:
[tex]\[
\boxed{85}
\][/tex]
