To simplify the expression \( 6n - 8(n + 4) \), we will distribute the \( -8 \) to both terms inside the parentheses:
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Distribute: \[ 6n - 8(n + 4) = 6n - 8n - 32 \]
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Combine like terms: \[ 6n - 8n = -2n \] So, \[ -2n - 32 \]
Thus, the simplified expression is: \[ -2n - 32 \]