To solve the expression \( 15 \cdot 805 + 4(70 - 6) \), we can follow these steps:
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Calculate \( 70 - 6 \): \[ 70 - 6 = 64 \]
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Substitute \( 64 \) back into the expression: \[ 15 \cdot 805 + 4 \cdot 64 \]
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Calculate \( 4 \cdot 64 \): \[ 4 \cdot 64 = 256 \]
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Now substitute this value into the expression: \[ 15 \cdot 805 + 256 \]
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Calculate \( 15 \cdot 805 \): \[ 15 \cdot 805 = 12075 \]
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Finally, add \( 12075 \) and \( 256 \): \[ 12075 + 256 = 12331 \]
Thus, the value of the expression \( 15 \cdot 805 + 4(70 - 6) \) is \(\boxed{12331}\).