Solve the equation for \(w\):
\[ \frac{3w+4}{{s}}=\frac{3w-4}{{s}}+\frac{s-1}{{w}} \]
Solution:
\[\begin{{array}}{{rcl}} \frac{3w+4}{{s}}&=&\frac{3w-4}{{s}}+\frac{s-1}{{w}}\\ \frac{(3w+4){\color{{red}} s w}}{{s }}&=&\frac{(3w-4) {\color{{red}} s w}}{{s }}+\frac{(s-1) {\color{{red}} s w}}{{w}}\\ 3w^2+4w&=&3w^2-4w+s^2-s\\ 8w&=&s^2-s\\ w&=&\frac{s^2-s}{{8}} \end{{array}} \]