Show that $\sum \frac{\mu(n) \ln(n)}{n}=-1$

Question

I am thinking of interpreting this as $-\frac{d}{ds}(\frac{1}{\zeta(s)})$ evaluated at $s=1$, or connecting it with $\Lambda$, but not exactly sure how to.

Any reference/textbook to look at for such series properties, especially those that might connect to involutions, of NT functions ($\mu,\ \Lambda,\ \sigma,\ \varphi,$ etc.) with proofs is also appreciated!