To simplify the expression \(3(5n - 1) - 3n\), we can follow these steps:
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Distribute the \(3\) in the first term: \[ 3(5n) - 3(1) = 15n - 3 \]
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Now, substitute this back into the expression: \[ 15n - 3 - 3n \]
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Combine the \(n\) terms: \[ (15n - 3n) - 3 = 12n - 3 \]
So, the simplified expression is: \[ 12n - 3 \]