To subtract the expression \((3n + 2)\) from \((8n + 8)\), you distribute the negative sign and combine like terms.
Here’s the step-by-step calculation:
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Start with the expression: \[ (8n + 8) - (3n + 2) \]
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Distribute the negative sign: \[ 8n + 8 - 3n - 2 \]
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Combine like terms:
- For the \(n\) terms: \[ 8n - 3n = 5n \]
- For the constant terms: \[ 8 - 2 = 6 \]
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Putting it all together gives: \[ 5n + 6 \]
So, the final result is: \[ \boxed{5n + 6} \]