1. **State the problem:**
We have 9 red gems, each worth 3 points, and 24 blue gems, each worth -2 points. We want to find the total points.
2. **Formula:**
Total points = (number of red gems) \times (points per red gem) + (number of blue gems) \times (points per blue gem)
3. **Substitute values:**
Total points = $9 \times 3 + 24 \times (-2)$
4. **Calculate each term:**
$9 \times 3 = 27$
$24 \times (-2) = -48$
5. **Add the results:**
Total points = $27 + (-48)$
6. **Simplify:**
Total points = $27 - 48$
7. **Final answer:**
Total points = $-21$
So, the total points from the gems is $-21$.
Total Gem Points Ac04Ac
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.