Negative numbers can make a big difference when we simplify math problems! Here’s what I’ve learned from my experience:

1. Watch the Signs: When you multiply or divide by a negative number, the sign changes. For example, $-2 \times -3 = 6$ (this is positive), but $-2 \times 3 = -6$ (this is negative).

2. Combine Like Terms: If you are adding numbers with negatives, like $3x - 5x$, it turns into $-2x$. So, it's really important to pay attention to those signs!

3. Parentheses Matter: When you have a negative sign outside parentheses, it changes everything inside. For example, $-(2x + 3)$ becomes $-2x - 3$, not $-2x + 3$.

So, always remember to check those negative signs!