To solve \((-3x^2 + 3x - 8) + (6x^2 - 4x)\), let's combine like terms.

1. **Group like terms**:
   \[
   (-3x^2 + 6x^2) + (3x - 4x) + (-8)
   \]

2. **Simplify each group**:
   - For the \(x^2\) terms: \(-3x^2 + 6x^2 = 3x^2\)
   - For the \(x\) terms: \(3x - 4x = -x\)
   - The constant term: \(-8\)

3. **Final result**:
   \[
   3x^2 - x - 8
   \]

Would you like any further explanation or details?

Here are some related questions to explore:
1. How do you combine like terms in polynomial expressions?
2. What is the process for adding and subtracting polynomials?
3. How do you factor quadratic expressions like \(3x^2 - x - 8\)?
4. How would you solve \(3x^2 - x - 8 = 0\)?
5. What are the rules for simplifying polynomial expressions?

**Tip:** When combining like terms, make sure to align terms with the same degree to avoid errors.

Understand how to combine like terms in the polynomial expression (-3x^2 + 3x - 8) + (6x^2 - 4x). This detailed step-by-step guide simplifies the equation into 3x^2 - x - 8, focusing on key algebraic concepts and techniques for students in Grades 8-10.

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