SOLUTION: the product of 3 and the sum of a number and 5 is the same as the product of -2 and the difference of the same number from 3. find the number.

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Question 1022402: the product of 3 and the sum of a number and 5 is the same as the product of -2 and the difference of the same number from 3. find the number.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the product of 3 and the sum of a number and 5 is the same as the product of -2 and the difference of the same number from 3.
find the number.
3(n+5) = -2(3-n)
3n + 15 = -6 + 2n
3n - 2n = - 6 - 15
n = -21
:
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See if that works in the original equation
3(-21+5) = -2(3-(-21))
3(-16) = -2(3 + 21)
-48 = -2(24)