We are given the equation:  
\(-4m + 12 = 4m + 12\).  
Let’s solve it step-by-step.

### Step 1: Move all the terms involving \(m\) to one side  
Add \(4m\) to both sides to eliminate the \(-4m\) on the left:
\[
-4m + 4m + 12 = 4m + 4m + 12
\]
This simplifies to:
\[
12 = 8m + 12
\]

### Step 2: Isolate the terms with \(m\)  
Subtract 12 from both sides:
\[
12 - 12 = 8m + 12 - 12
\]
This simplifies to:
\[
0 = 8m
\]

### Step 3: Solve for \(m\)  
Divide both sides by 8:
\[
\frac{0}{8} = \frac{8m}{8}
\]
\[
0 = m
\]

### Final Answer:
\[
m = 0
\]

Would you like further details on any step or have any questions?  

Here are five related questions you might find useful:
1. How do you solve equations with variables on both sides?
2. What are the properties of equality used in solving equations?
3. Can an equation have no solution? How do you identify such cases?
4. What does it mean if you get a result like \(0 = 0\) when solving?
5. How do you solve equations involving fractions or decimals?

**Tip:** Always try to move all variable terms to one side to simplify the equation as early as possible!

Discover how to solve the linear equation −4m + 12 = 4m + 12 in a clear, step-by-step approach. This guide covers essential algebraic techniques for isolating variables and balancing equations, ideal for students in Grades 7-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation