1. **Evaluate the expression:** $$\frac{-12 \times (-3) \times 4 - (-20)}{-6 \times 6 + 4 + (-6)}$$ 2. **Calculate numerator:** $$-12 \times (-3) = 36$$ $$36 \times 4 = 144$$ $$144 - (-20) = 144 + 20 = 164$$ 3. **Calculate denominator:** $$-6 \times 6 = -36$$ $$-36 + 4 = -32$$ $$-32 + (-6) = -38$$ 4. **Divide numerator by denominator:** $$\frac{164}{-38} = -\frac{164}{38} = -\frac{82}{19}$$ 5. **Final answer:** $$-\frac{82}{19}$$