Question

Add: (2m−3)+(3n−1)+(3m+1)
(
2
𝑚
−
3
)
+
(
3
𝑛
−
1
)
+
(
3
𝑚
+
1
)
.(1 point) ..

Answer 1

To add the expression \((2m - 3) + (3n - 1) + (3m + 1)\), we can combine like terms step by step.

1. Start by writing the expression:
\[
(2m - 3) + (3n - 1) + (3m + 1)
\]

2. Distribute and group similar terms:
- For the \(m\) terms: \(2m + 3m\)
- For the \(n\) terms: \(3n\)
- For the constant terms: \(-3 - 1 + 1\)

3. Combine these terms:
- \(m\) terms: \(2m + 3m = 5m\)
- \(n\) terms: \(3n\)
- Constant terms: \(-3 - 1 + 1 = -3\)

4. Putting it all together:
\[
5m + 3n - 3
\]

So, the result of the addition is:
\[
\boxed{5m + 3n - 3}
\]