To simplify the expression \((4n - 4) + (-8n + 1)\), you can combine like terms.
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Distribute the plus sign: \[ 4n - 4 - 8n + 1 \]
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Combine the \(n\) terms: \[ 4n - 8n = -4n \]
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Combine the constant terms: \[ -4 + 1 = -3 \]
Putting it all together, the simplified expression is: \[ -4n - 3 \]