Interview Question Explanation

Was asked how theoretically "setting cash on fire" would affect equity and enterprise value. From a logical standpoint it makes sense, but from a formulaic perspective how does burning cash not increase enterprise value since you are decreasing an amount of something that is subtracted out in the formula. Thanks!

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This was for SA 2023 so the interview took place last year but I was reviewing notes for a finance class and I remembered the question as it confused me. Was for a top EB (EVR/CVP/PJT)  

 
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