Let's solve the expression step by step:
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Calculate \(4^2\): \[ 4^2 = 16 \]
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Calculate \(3 \times 6\): \[ 3 \times 6 = 18 \]
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Now, substitute these values back into the expression: \[ 16 + 18 - 7 \]
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Add \(16\) and \(18\): \[ 16 + 18 = 34 \]
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Finally, subtract \(7\): \[ 34 - 7 = 27 \]
So, the final result is: \[ \boxed{27} \]