Let's solve the equation step by step.

The equation is:

\[
-39 + m = -3(m + 15)
\]

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

\[
-39 + m = -3m - 45
\]

2. **Move all terms involving \(m\)** to one side of the equation. Add \(3m\) to both sides:

\[
m + 3m = -45 + 39
\]

This simplifies to:

\[
4m = -6
\]

3. **Solve for \(m\)** by dividing both sides by 4:

\[
m = \frac{-6}{4} = -\frac{3}{2}
\]

So, the solution is:

\[
m = -\frac{3}{2}
\]

Would you like more details or have any questions?

Here are some related questions:
1. How do you check if a solution to an equation is correct?
2. What happens when you multiply both sides of an equation by a negative number?
3. Can you solve a similar equation with different constants?
4. How do you solve equations with variables on both sides?
5. What is the significance of the distributive property in solving equations?

**Tip:** Always simplify the equation step by step to avoid mistakes!

Learn how to solve the equation -39 + m = -3(m + 15) step-by-step with a detailed solution. This problem involves equations and the distributive property. Suitable for students in Grades 7-9.

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