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the difference of a number and 6 is the same as 5 times the sum of the number and 2. what is the number

 May 3, 2023
 #1
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The answer is -2.

 May 3, 2023
 #2
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I will try a step-by-step solution. If the number is n, the equation is 

n-6=5(n+2)

n-6=5n+10

-6=4n+10

-16=4n

n=-4

Check:

-4-6=-10

5(-4+2)=-10

Therefore, -4 is the correct solution.

 May 3, 2023

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