1. **State the problem:** Calculate the value of $-45 - 82$. 2. **Understand the operation:** Subtraction of a positive number from a negative number means moving further left on the number line. 3. **Apply the subtraction:** $$-45 - 82 = -45 + (-82)$$ 4. **Add the two negative numbers:** $$-45 + (-82) = -(45 + 82)$$ 5. **Calculate the sum inside the parentheses:** $$45 + 82 = 127$$ 6. **Final answer:** $$-127$$ So, $-45 - 82 = -127$.