Certainly! Let's solve the given expression step-by-step:
[tex]\[ 6 - [14 - (9 + 8) \cdot 2] \][/tex]
1. Calculate the value inside the parentheses:
[tex]\[ 9 + 8 = 17 \][/tex]
2. Multiply the result by 2:
[tex]\[ 17 \cdot 2 = 34 \][/tex]
3. Subtract the result from 14:
[tex]\[ 14 - 34 = -20 \][/tex]
4. Finally, subtract the result from 6:
[tex]\[ 6 - (-20) = 6 + 20 = 26 \][/tex]
So, the solution to the expression is:
[tex]\[ 6 - [14 - (9 + 8) \cdot 2] = 26 \][/tex]