Let's simplify the expression step by step:
The expression is \((60 / 3 \cdot 2) - 5 + 4\).
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First, calculate \(60 / 3\): \[ 60 / 3 = 20 \]
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Now, multiply that result by \(2\): \[ 20 \cdot 2 = 40 \]
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Now we have: \[ 40 - 5 + 4 \]
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Next, perform the subtraction: \[ 40 - 5 = 35 \]
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Finally, add \(4\): \[ 35 + 4 = 39 \]
Thus, the simplified result is: \[ \boxed{39} \]