To solve the expression \( 2(1.60 + 7) - 4.90 \), follow the order of operations:
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Calculate the expression inside the parentheses: \[ 1.60 + 7 = 8.60 \]
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Multiply by 2: \[ 2 \times 8.60 = 17.20 \]
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Subtract \( 4.90 \): \[ 17.20 - 4.90 = 12.30 \]
Thus, the final result is: \[ \boxed{12.30} \]