Question 124734
{{{(7/n)+96=84}}}

To Solve this lets first subtract 96 from each side
{{{(7/n)+96-96=84-96}}}

This Brings us to the following
{{{(7/n)=-12}}}

Now we must isolate the variable "n" to  one side of the equation.
To do that we must multiply each side by n.
{{{n(7/n)=-12n}}}

That brings us to the following
{{{7=-12n}}}

To solve for n we must divide both sides by -12
{{{(7/-12)=(-12n/-12)}}}

This brings us to the following solution
{{{(7/-12)=n}}}

To check the solution we must substitue {{{(7/-12)}}} into the problem for the variable "n"

{{{7/(7/-12)+96=84}}}

First, since we are dividing 7 by (7/-12)  we must do the opposite and multiply by the reciprical which is (-12/7).  We would set up the problem in this fashion.
{{{(7/1)(-12/7)+96=84}}}

We can factor out the numerator of 7 in the first fraction with the denominator of 7 in the second fraction to leave us with -12.

{{{-12+96=84}}}

Simplified, we get
{{{84=84}}}