Let's solve the equation step by step.

Given:

\[
m = -(4 + m) + 2
\]

### Step 1: Distribute the negative sign on the right-hand side

\[
m = -4 - m + 2
\]

### Step 2: Combine like terms on the right-hand side

\[
m = -2 - m
\]

### Step 3: Add \( m \) to both sides to eliminate the variable from the right-hand side

\[
m + m = -2
\]

### Step 4: Combine like terms

\[
2m = -2
\]

### Step 5: Divide both sides by 2 to solve for \( m \)

\[
m = -1
\]

So, the solution is \( m = -1 \).

Would you like more details or have any questions about this? Here are some related questions you might find interesting:

1. How would the solution change if the constant term on the right side was different?
2. What happens if the equation includes another variable?
3. How do you solve equations with fractions or decimals?
4. Can you provide examples of real-world problems that can be modeled by such equations?
5. What are the properties of equality used in solving linear equations?

**Tip:** When solving equations, always perform the same operation on both sides to maintain equality.

Learn how to solve the equation m = -(4 + m) + 2 with a detailed step-by-step solution. This problem covers key algebraic concepts, including linear equations, the distributive property, and combining like terms. Suitable for students in Grades 7-9.

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