To evaluate the expression \( 4 \cdot 8 + 5 + 3 \cdot 2 \), we follow the order of operations (multiplication before addition).
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Calculate \( 4 \cdot 8 \): \[ 4 \cdot 8 = 32 \]
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Calculate \( 3 \cdot 2 \): \[ 3 \cdot 2 = 6 \]
Now substitute back into the expression: \[ 32 + 5 + 6 \]
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Add \( 32 + 5 \): \[ 32 + 5 = 37 \]
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Finally, add \( 37 + 6 \): \[ 37 + 6 = 43 \]
So, the value of the expression \( 4 \cdot 8 + 5 + 3 \cdot 2 \) is \( \boxed{43} \).