Describe how a lever can increase the force applied without changing the amount of work being done

I think a lever increases the force by decreasing the distance moved proportionately. Since; work done is given by force multiplied by distance, thus the increase and decrease will cancel out, leaving the same amount of work done. Work done in machines depends on the amount of force applied and the distance, therefore, a change in any of the variables will affect the value of work done.

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