To evaluate the expression \(10b + 4p - 1\) with \(b = 3\) and \(p = 2\), we can substitute the values of \(b\) and \(p\) into the expression.
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Substitute \(b = 3\) and \(p = 2\): \[ 10(3) + 4(2) - 1 \]
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Calculate \(10(3)\): \[ 10 \times 3 = 30 \]
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Calculate \(4(2)\): \[ 4 \times 2 = 8 \]
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Now substitute these values back into the expression: \[ 30 + 8 - 1 \]
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Calculate \(30 + 8\): \[ 30 + 8 = 38 \]
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Finally, subtract 1: \[ 38 - 1 = 37 \]
Thus, the result of the expression \(10b + 4p - 1\) is \(\boxed{37}\).