To solve the equation \( -18 + 15 = -3(c + 6) \), let's break it down step by step:

1. **Simplify the left side of the equation:**

   \[
   -18 + 15 = -3
   \]

   So the equation becomes:

   \[
   -3 = -3(c + 6)
   \]

2. **Distribute the \(-3\) on the right side:**

   \[
   -3 = -3c - 18
   \]

3. **Move the constant term on the right side to the left side:**

   Add 18 to both sides to isolate the term with the variable:

   \[
   -3 + 18 = -3c - 18 + 18
   \]

   Simplifying this gives:

   \[
   15 = -3c
   \]

4. **Solve for \(c\):**

   Divide both sides by \(-3\) to solve for \(c\):

   \[
   \frac{15}{-3} = c
   \]

   Therefore, \(c = -5\).

The solution is \( \boxed{c = -5} \).

Would you like more details or have any questions? Here are five related questions you might consider:

1. How would you solve an equation where both sides have variables?
2. What is the general strategy for solving linear equations with parentheses?
3. How can you check if your solution is correct?
4. What happens if you have a positive coefficient instead of a negative one?
5. How do you solve equations that involve fractions or decimals?

**Tip:** Always simplify both sides of the equation as much as possible before solving for the variable. This often makes the problem easier to manage.

Learn how to solve the equation -18 + 15 = -3(c + 6) step-by-step. Understand the application of the distributive property and solving linear equations. Suitable for students in Grades 7-9.

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