Question 5094
I am assuming you mean:  {{{3/(5n-2) = 1/(5n + 3) }}}


In the same way that {{{a/b=c/d}}} means that {{{a*d=b*c}}}
{{{3/(5n-2) = 1/(5n + 3) }}} means that {{{3(5n+3) = 1(5n-2) }}}


Multiply out the parentheses:
15n + 9 = 5n -2


Get all n terms on the left by subtracting 5n from each side:
15n - 5n + 9 = 5n - 5n - 2
10n + 9 = -2


Subtract 9 from each side:
10n + 9 - 9 = -2 - 9
10n = -11


Divide both sides by 10:
{{{n= -11/10}}}


R^2 at SCC