To solve the expression \(-2 \cdot (-5 - 1) \cdot 22\), we need to follow the order of operations, often abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
-
Parentheses: First, we calculate the value inside the parentheses: \[ -5 - 1 = -6 \]
-
Now, we rewrite the expression: \[ -2 \cdot (-6) \cdot 22 \]
-
Multiplication: We perform the multiplication from left to right:
- First, multiply \(-2\) and \(-6\): \[ -2 \cdot -6 = 12 \]
- Now, multiply the result by \(22\): \[ 12 \cdot 22 = 264 \]
Thus, the final answer is: \[ \boxed{264} \]