Let's solve the equation step by step:

Given equation:
\[
6u + 6 - 6 = 4u + 2u
\]

### Step 1: Simplify both sides of the equation.
On the left side:
\[
6u + 6 - 6 = 6u
\]
(since \(6 - 6 = 0\))

On the right side:
\[
4u + 2u = 6u
\]

Now the equation looks like:
\[
6u = 6u
\]

### Step 2: Analyze the equation.
This equation is true for any value of \(u\). Therefore, it is an **identity**, meaning that the solution is all real numbers.

### Final Answer:
The solution is all real numbers. \( u \) can be any value.

Would you like further details or have any questions?

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Here are 5 related questions to explore:
1. What is an identity equation in algebra?
2. How do you solve equations with variables on both sides?
3. What are some examples of equations with no solution?
4. How can you verify if an equation has infinite solutions?
5. What happens when all terms cancel out in an equation?

**Tip:** Always simplify both sides of an equation as much as possible before solving.

Learn how to solve the equation 6u + 6 - 6 = 4u + 2u step-by-step with detailed explanations. This problem involves simplifying equations and understanding variable operations. Suitable for students in Grades 6-8.

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