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A number is doubled and then the product is increased by 6. This sum is then multiplied by -3, and the result is 54 greater than three times the opposite of the number. What is the number?

 Oct 12, 2020
 #1
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A number is doubled     2x

 

and then the product is increased by 6       2x+6

 

This sum is then multiplied by -3           (-3)(2x+6)

 

and the result is 54 greater than three times the opposite of the number.      (- 3)(2x+6) - 54  = (3)(-x) 

 

(if the opposite of a number is the number * -1 )         x = -24

 Oct 12, 2020

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