https://file.aiquickdraw.com/mathbot/file/1729979978268nmvv46jy.jpg

To determine which expression is equivalent to \(-18 + 24c\), we can factor out the common factor from \(-18\) and \(24c\).

### Step-by-Step Solution

1. **Identify the Common Factor**: 
   Both \(-18\) and \(24c\) share a common factor of 6, but it’s negative, so we’ll factor out \(-6\).

2. **Factor Out \(-6\)**:
   \[
   -18 + 24c = -6(3 - 4c)
   \]

3. **Check the Options**:
   The equivalent expression we found is \(-6(3 - 4c)\).

### Conclusion
The correct answer is:
\[
\boxed{-6(3 - 4c)}
\]

Would you like further details on factoring or have any additional questions?

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Here are 5 related questions that might help expand your understanding:

1. How do you determine the common factors of terms in an expression?
2. Why is it useful to factor out negative numbers in expressions?
3. How can factoring help simplify more complex algebraic expressions?
4. What are other ways to factor expressions that involve multiple terms?
5. How would the answer change if we were asked for the *positive* factor?

**Tip**: When factoring, always look for the greatest common factor, including negatives if the leading term is negative, to make simplification easier.

Which expression is equivalent to -18 + 24c?

Learn how to determine the equivalent expression for -18 + 24c by factoring out the greatest common factor. This problem involves key algebraic concepts and uses the distributive property, suitable for students in Grades 7-8.

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