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Pieter wrote the equation 7h – 5(3h – 8) = –72 to model the number of hours it takes to dig a well to a level of 72 feet below sea level. How many hours will it take to dig the well?

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the answer to the question
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Answer:

It will take 14 hours.

Step-by-step explanation:

Here, the given equation, that model the number of hours it takes to dig a well to a level of 72 feet below sea level, is,

[tex]7h - 5(3h - 8) = -72[/tex]

Where, h is the variable,

So, h must represent the number of hours,

By the above equation,

[tex]7h-15h+40=-72[/tex]   ( Distributive property ),

[tex]-8h=-72-40[/tex]          ( Subtraction property of equality ),

[tex]-8h=-112[/tex]

[tex]\implies h = 14[/tex]    ( Division property of equality )

Hence, it will take 14 hours to dig the well.

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