To solve the inequality \( 4 - (-2f) \geq -4 \), we first simplify the expression:
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Rewrite \( -(-2f) \) as \( 2f \): \[ 4 + 2f \geq -4 \]
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Subtract 4 from both sides to isolate the term with \( f \): \[ 2f \geq -4 - 4 \] \[ 2f \geq -8 \]
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Divide both sides by 2 to solve for \( f \): \[ f \geq \frac{-8}{2} \] \[ f \geq -4 \]
Thus, the solution is: \[ \boxed{f \geq -4} \]