The expression \( 20a + 12b - 24c \) can be factored by finding the greatest common factor (GCF) of all the terms. Let's break it down:

1. The coefficients are 20, 12, and -24. The GCF of these numbers is 4.
2. There are no common variables among the terms.

Thus, the GCF of the entire expression is 4. We can factor out the GCF:

\[
20a + 12b - 24c = 4(5a + 3b - 6c)
\]

### Final Answer:
\[
4(5a + 3b - 6c)
\]

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. How do you find the GCF of multiple numbers?
2. What is the difference between factoring an expression and solving an equation?
3. How would you factor if all terms included a variable?
4. Can we apply this factoring method to quadratic expressions?
5. How do you expand a factored expression back to its original form?

**Tip:** Always check for the greatest common factor (GCF) first when factoring an expression.

Learn to factor the expression 20a + 12b - 24c by identifying the Greatest Common Factor (GCF) of the terms. This algebraic problem helps students understand factoring with GCF, breaking down terms step-by-step. Suitable for students in Grades 7-9.

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