In the expression 6m - 2n + 4m + n, what is the combined form?

• A. 10m - n
• B. 10m + n
• C. 8m + 3n
• D. 8m - n

Answer: (A)

To combine the terms in the expression 6m - 2n + 4m + n, it is essential to first identify the like terms. Like terms are terms that contain the same variable raised to the same power.

In this expression, we have two types of variables:

1. Terms with "m":

• 6m and 4m.

These can be combined because they both are coefficients of the variable m. Adding them together gives us:

6m + 4m = 10m.

2. Terms with "n":

• -2n and n.

Here, -2n is the same as -2n + 1n (because n is equivalent to 1n). Combining these gives:

-2n + 1n = -2n + n = -1n or simply -n.

Now, putting together the results from the combination of like terms, we have:

10m for the m terms and -n for the n terms.

Combining these results, the expression simplifies to 10m - n, which corresponds to the correct choice. This process showcases the fundamental operation of combining like terms, which is crucial for simplifying algebraic