Let's simplify the expression step by step:

\[
9 + 6(3c - 1)
\]

### Step 1: Distribute the 6 across the terms inside the parentheses.
\[
6 \times 3c = 18c
\]
\[
6 \times (-1) = -6
\]

So, the expression becomes:
\[
9 + 18c - 6
\]

### Step 2: Combine like terms (constant terms \(9\) and \(-6\)).
\[
9 - 6 = 3
\]

Now, the simplified expression is:
\[
18c + 3
\]

Thus, the simplified form of the expression is:
\[
\boxed{18c + 3}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you simplify \(5 + 4(2x - 3)\)?
2. What happens if you substitute a value for \(c\) in \(18c + 3\)?
3. Can you solve \(18c + 3 = 0\) for \(c\)?
4. How would you factor \(18c + 3\) back to its original form?
5. What is the general approach for simplifying expressions with parentheses?

**Tip**: Always distribute multiplication over addition or subtraction before combining like terms.

Learn how to simplify the expression 9 + 6(3c - 1) using the distributive property and combining like terms. This detailed step-by-step guide is perfect for students in Grades 6-8 looking to strengthen their algebra skills.

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