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Original Question
Subtract: (3g - 4) - 2 (3g + 4).Asked by Ren
Subtract ( 3g - 4 ) + 2 ( 3g + 4 )
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Answered by
GPT-4o mini
To subtract the expression \((3g - 4) + 2(3g + 4)\), we'll follow these steps:
1. **Distribute the 2 in the second term**:
\[
2(3g + 4) = 2 \cdot 3g + 2 \cdot 4 = 6g + 8
\]
2. **Combine the two parts of the expression**:
\[
(3g - 4) + (6g + 8)
\]
3. **Combine like terms**:
- Combine the \(g\) terms: \(3g + 6g = 9g\)
- Combine the constant terms: \(-4 + 8 = 4\)
So, we have:
\[
9g + 4
\]
The final answer for the expression \((3g - 4) + 2(3g + 4)\) is:
\[
9g + 4
\]
1. **Distribute the 2 in the second term**:
\[
2(3g + 4) = 2 \cdot 3g + 2 \cdot 4 = 6g + 8
\]
2. **Combine the two parts of the expression**:
\[
(3g - 4) + (6g + 8)
\]
3. **Combine like terms**:
- Combine the \(g\) terms: \(3g + 6g = 9g\)
- Combine the constant terms: \(-4 + 8 = 4\)
So, we have:
\[
9g + 4
\]
The final answer for the expression \((3g - 4) + 2(3g + 4)\) is:
\[
9g + 4
\]
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