Question 526741
One-half of n is written as
{{{n/2}}}
or
{{{(1/2)n}}}
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
{{{(1/2)n-6=1}}}
or
{{{n/2-6=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/2-6+6=1+6}}}
It simplifies to
{{{n/2=7}}}
Then you multiply both sides by 2, to get
{{{n=14}}}