The equation you provided:
\[ -18w + 42 - 42 > -66 - 42 \]
can be simplified by applying the Addition property of Inequality. This property states that if you add (or subtract) the same number to both sides of an inequality, the inequality remains true.
In this case, you subtract \(42\) from both sides, which results in:
\[ -18w > -66 - 42 \]
So, the correct answer is Addition property of Inequality.