To solve the inequality \(-4f - 3 \geq 65\), follow these steps:
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Add 3 to both sides to isolate the term with \(f\): \[ -4f - 3 + 3 \geq 65 + 3 \] This simplifies to: \[ -4f \geq 68 \]
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Divide both sides by -4. Remember, when dividing by a negative number, the direction of the inequality reverses: \[ f \leq \frac{68}{-4} \] This simplifies to: \[ f \leq -17 \]
Thus, the solution to the inequality is: \[ \boxed{f \leq -17} \]