SOLUTION: please help me i do not understand this math question or how to do it. what is one-half of n diminished by six equals one?

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Question 526741: please help me i do not understand this math question or how to do it. what is one-half of n diminished by six equals one?
Found 2 solutions by llando10, KMST:
Answer by llando10(1) About Me  (Show Source):
You can put this solution on YOUR website!
I'm not sure about the punctuation, but if I understand your words correctly, the equation is:
1/2n-6=1
using reverse order of operations, add six to both sides of the equation:
1/2n-6+6=1+6
1/2n=7
using the multiplication property of equality, multiply both sides of the equation times two:
2(1/2)n=2(7)
simplify:
n=14
check answer by substituting 14 for n in the original equation:
1/2(14)-6=1

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
One-half of n is written as
n%2F2
or
%281%2F2%29n
When they say "diminished by six" they mean subtract 6 from that
What happened to n is that it was divided by 2 first and then 6 was subtracted from the result. They mean
%281%2F2%29n-6=1
or
n%2F2-6=1
To solve this kind of problem you have to "undo" all the evil things that have been done to poor n
in reverse order, just like you take off your shoes and socks in the reverse order than you used to put them on.
First you add 6 to each side to get
n%2F2-6%2B6=1%2B6
It simplifies to
n%2F2=7
Then you multiply both sides by 2, to get
n=14