Simplify the expression 3m + 2n - 4m + n.

Simplify the expression 3m + 2n - 4m + n.

• A. -m + 3n
• B. -m + n
• C. m + 3n
• D. 2m + 3n

Answer: (A)

To simplify the expression \(3m + 2n - 4m + n\), you first need to combine like terms. Like terms are terms that contain the same variable raised to the same power. 1. **Identifying like terms**: In the expression, the terms \(3m\) and \(-4m\) are like terms since they both have the variable \(m\). The terms \(2n\) and \(n\) are like terms as both have the variable \(n\). 2. **Combining the \(m\) terms**: \[ 3m - 4m = (3 - 4)m = -1m = -m \] 3. **Combining the \(n\) terms**: \[ 2n + n = 2n + 1n = (2 + 1)n = 3n \] 4. **Putting it all together**: After combining the terms, you have: \[ -m + 3n \] This matches the answer choice provided. In summary, the simplification process involves identifying and combining like terms effectively, leading

To simplify the expression (3m + 2n - 4m + n), you first need to combine like terms. Like terms are terms that contain the same variable raised to the same power.

1. Identifying like terms: In the expression, the terms (3m) and (-4m) are like terms since they both have the variable (m). The terms (2n) and (n) are like terms as both have the variable (n).

2. Combining the (m) terms:

[

3m - 4m = (3 - 4)m = -1m = -m

]

3. Combining the (n) terms:

[

2n + n = 2n + 1n = (2 + 1)n = 3n

]

4. Putting it all together: After combining the terms, you have:

[

-m + 3n

]

This matches the answer choice provided.

In summary, the simplification process involves identifying and combining like terms effectively, leading