1. The problem is to simplify the expression without including the term $-\lg 100$. 2. Recall that $\lg$ denotes the base-10 logarithm, so $\lg 100 = 2$ because $100 = 10^2$. 3. Since the user requests not to include $-\lg 100$, we simply omit this term from the expression. 4. Therefore, the simplified expression is the original expression without the $-\lg 100$ term. 5. If you have a specific expression you want simplified without $-\lg 100$, please provide it for detailed steps.