To identify the expression that rewrites \( 16 - 7 + 22 - 12 \) using adding the additive inverse, we can rewrite each subtraction as the addition of a negative number.
The expression \( 16 - 7 + 22 - 12 \) can be rewritten as:
\[ 16 + (-7) + 22 + (-12) \]
Thus, the response that matches this transformation is:
16 + (–7) + 22 + (–12)