To solve the expression \( 8(9 - 5 \times 7) - 2 \), follow the order of operations (PEMDAS/BODMAS):
Parentheses/Brackets: Calculate inside the parentheses first.
- Inside the parentheses, we have \( 9 - 5 \times 7 \).
Multiplication: Perform the multiplication \( 5 \times 7 \): \[ 5 \times 7 = 35 \]
Subtraction: Now, substitute back and perform the subtraction: \[ 9 - 35 = -26 \]
Substituting back into the expression: \[ 8(-26) - 2 \]
Multiplication: Now multiply \( 8 \) by \( -26 \): \[ 8 \times -26 = -208 \]
Final subtraction: Now, subtract \( 2 \): \[ -208 - 2 = -210 \]
So, the final result of the expression \( 8(9 - 5 \times 7) - 2 \) is \(\boxed{-210}\).