SOLUTION: If 7 is added to twice a number and this sum is multiplied by 6, the result is the same as if the number is multiplied by 7 and 12 is added to the product. Whats the number?

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Question 627340: If 7 is added to twice a number and this sum is multiplied by 6, the result is the same as if the number is multiplied by 7 and 12 is added to the product. Whats the number?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If 7 is added to twice a number and this sum is multiplied by 6,
the result is the same as if the number is multiplied by 7 and 12
is added to the product. Whats the number?
:
Let n = "a number"
:
6(2n + 7) = 7n + 12
12n + 42 = 7n + 12
12n - 7n = 12 - 42
5n = -30
n = %28-30%29%2F5
n = -6
:
:
Check
6(2(-6) + 7) = 7(-6) + 12
6(-12+7) = -42 + 12
6(-5) = -30