To factor the expression \(-3x + 18y - 12\), follow these steps:

1. **Identify the greatest common factor (GCF):**  
   The GCF of the coefficients \(-3\), \(18\), and \(-12\) is \(3\). Since the first term is negative, we'll factor out \(-3\).

2. **Factor out the GCF:**  
   \[
   -3x + 18y - 12 = -3(x - 6y + 4)
   \]

So, the factored form of the expression \(-3x + 18y - 12\) is:

\[
-3(x - 6y + 4)
\]

Would you like further details or have any questions?  

Here are 5 related questions to consider:

1. How do you determine the greatest common factor (GCF) of a set of terms?
2. Can you factor the expression \(x^2 - 6xy + 9y^2\)?
3. What are the steps to factor a quadratic expression?
4. How do you apply the distributive property in reverse to factor expressions?
5. Can the factored form of an expression be verified by expansion?

**Tip:** When factoring, always check for a common factor across all terms first before applying other factoring methods.

Learn how to factor the expression -3x + 18y - 12 with a detailed step-by-step solution. This problem covers key algebraic concepts, including factoring by greatest common factor (GCF). Suitable for students in Grades 9-12.

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