Let's examine the steps shown in the work and identify the error.
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Initial Expression: \[ 2(4 - 16) - (-30) \]
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First Step Calculation: \[ 4 - 16 = -12 \] Therefore, this simplifies to: \[ 2(-12) - (-30) \]
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Second Step Calculation: Now we multiply: \[ 2(-12) = -24 \] So, we have: \[ -24 - (-30) \] Which can be rewritten as: \[ -24 + 30 \]
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Final Step Calculation: Now we perform the addition: \[ -24 + 30 = 6 \]
So the correct result of the expression should be: \[ \boxed{6} \]
Summary of the Error:
The error in the original work was during the transition from \(-24 - (-30)\) to \(24 - (-30)\), which is incorrect. It should correctly be calculated as \(-24 + 30\), leading to the correct final result of \(6\).