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The given expression is:

\[
18ab - 27a + 3ac
\]

We can simplify this by factoring out the common terms. Let's check each part of the expression:

- \(18ab\)
- \(-27a\)
- \(3ac\)

The common factor in all three terms is \(3a\). Now we can factor that out:

\[
18ab - 27a + 3ac = 3a(6b - 9 + c)
\]

So, the factored form of the expression is:

\[
3a(6b - 9 + c)
\]

Would you like further details on factoring or any other clarifications? 

Here are five related questions to consider:
1. How would you factor more complex polynomials?
2. What happens if one term doesn't have a common factor?
3. Can you apply this factoring method to quadratic equations?
4. How would you solve \( 6b - 9 + c = 0 \)?
5. What is the significance of factoring in solving equations?

**Tip:** Always check if there are common factors before expanding or simplifying an expression; this saves time and effort.

Simplify the expression 18ab - 27a + 3ac.

Learn how to factor the algebraic expression 18ab - 27a + 3ac by identifying the greatest common factor (GCF) and simplifying. This problem is suitable for students in Grades 6-8 and covers key algebraic concepts.

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