The expression \( 3(a - 6) \) can be simplified by distributing the \( 3 \) across the terms inside the parentheses:

\[
3(a - 6) = 3 \cdot a - 3 \cdot 6
\]

\[
= 3a - 18
\]

So, the simplified form of the expression is \( 3a - 18 \).

Would you like further details or have any questions?

Here are some related questions:
1. How do you factor \( 3a - 18 \) back into its original form?
2. What happens if you distribute a negative number instead of 3?
3. How would you solve \( 3(a - 6) = 0 \) for \( a \)?
4. How can this expression be used in an equation?
5. What if \( a = 6 \)? What does the expression equal?
6. How would the expression change if it was \( 3(a + 6) \)?
7. Can you expand and simplify \( 3(a - 6) + 2(a + 3) \)?
8. How would you distribute if it was \( 5(2a - 4) \)?

**Tip:** Always double-check your distribution, especially when dealing with negative signs.

Learn how to simplify the expression 3(a - 6) step-by-step using the distributive property of multiplication over addition. This problem involves basic algebraic manipulation suitable for students in Grades 6-8.

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