What is the result of simplifying 6m + 2 - 4m?

• A. 2m + 2
• B. 10m + 2
• C. 6m - 2
• D. 4m + 2

Answer: (A)

To simplify the expression 6m + 2 - 4m, we begin by identifying the like terms. In this expression, the terms involving 'm' are 6m and -4m. To combine these, we perform the following calculation:

6m - 4m = (6 - 4)m = 2m.

Now, we also have the constant term, which is simply +2, that remains unchanged during simplification. Thus, when we combine the results, we get:

2m + 2.

The final simplified expression is 2m + 2, which corresponds to the correct answer. This process emphasizes the importance of combining like terms correctly in algebraic expressions. Understanding how to identify and manipulate these terms is crucial for successful algebraic simplification.