To solve the equation \( 5m + 4 = 3 - 4(m + 2) \), follow these steps:

### Step 1: Distribute the \(-4\) on the right side of the equation.
\[
5m + 4 = 3 - 4m - 8
\]

### Step 2: Simplify the equation.
Combine the constant terms on the right side:
\[
5m + 4 = -4m - 5
\]

### Step 3: Move the terms involving \( m \) to one side of the equation.
Add \( 4m \) to both sides:
\[
5m + 4m + 4 = -4m + 4m - 5
\]
\[
9m + 4 = -5
\]

### Step 4: Move the constant term to the other side.
Subtract 4 from both sides:
\[
9m = -5 - 4
\]
\[
9m = -9
\]

### Step 5: Solve for \( m \) by dividing both sides by 9:
\[
m = \frac{-9}{9}
\]
\[
m = -1
\]

So, the solution is:
\[
m = -1
\]

Would you like more details or have any questions about the steps?

Here are 5 related questions:
1. How can you verify that \( m = -1 \) is the correct solution?
2. What changes if the equation had a different constant, like \( 5m + 4 = 7 - 4(m + 2) \)?
3. Can you solve \( 5m + 4 = 3 - 4(2m + 1) \) using similar steps?
4. What is the impact of distributing a positive number instead of a negative number?
5. How do you solve the equation if it was \( 5m + 4 = 3 + 4(m + 2) \)?

**Tip:** When simplifying equations, keep track of signs carefully to avoid errors.

Learn how to solve the equation 5m + 4 = 3 - 4(m + 2) with a detailed step-by-step solution. This problem involves equations and the distributive property, suitable for Grades 7-9 students.

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