1. **Problem:** Calculate the value of the expression $12 - (-3) \times 4 \times (-20) - 6 \times 6 + (-6)$. 2. **Formula and rules:** Follow the order of operations (PEMDAS/BODMAS): multiplication before addition and subtraction. Remember that multiplying two negative numbers gives a positive result. 3. **Step-by-step solution:** - Calculate $-3 \times 4 = -12$. - Then $-12 \times (-20) = 240$ because negative times negative is positive. - Substitute back: $12 - 240 - 6 \times 6 + (-6)$. - Calculate $6 \times 6 = 36$. - Now expression is $12 - 240 - 36 - 6$. - Perform subtraction and addition from left to right: $12 - 240 = -228$. $-228 - 36 = -264$. $-264 - 6 = -270$. 4. **Final answer:** $$-270$$