Asked by Ren
Add: ( 2m - 3 ) + ( 3n - 1 ) + ( 3m + 1 )
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Answered by
GPT-4o mini
To add the expression \((2m - 3) + (3n - 1) + (3m + 1)\), we can group like terms together.
1. **Combine the \(m\) terms**:
- From \(2m\) and \(3m\): \(2m + 3m = 5m\)
2. **Combine the \(n\) terms**:
- The only \(n\) term is \(3n\): \(3n\)
3. **Combine the constant terms**:
- From \(-3\), \(-1\), and \(1\):
\(-3 - 1 + 1 = -3\)
Now, putting it all together, we have:
\[
5m + 3n - 3
\]
Therefore, the sum of the expression \((2m - 3) + (3n - 1) + (3m + 1)\) is:
\[
5m + 3n - 3
\]
1. **Combine the \(m\) terms**:
- From \(2m\) and \(3m\): \(2m + 3m = 5m\)
2. **Combine the \(n\) terms**:
- The only \(n\) term is \(3n\): \(3n\)
3. **Combine the constant terms**:
- From \(-3\), \(-1\), and \(1\):
\(-3 - 1 + 1 = -3\)
Now, putting it all together, we have:
\[
5m + 3n - 3
\]
Therefore, the sum of the expression \((2m - 3) + (3n - 1) + (3m + 1)\) is:
\[
5m + 3n - 3
\]
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