Please help will rate, need in done within $30$ mins

A new liquid substance has been discovered that freezes at $15C.$ A scientist poured the liquid $($which was at $15C)$ into a $0\mathrm{.}831$ kg cup $($ c cup $=831\frac{J}{k}g*K$ which caused some, but not all, of the liquid to freeze $($only $0\mathrm{.}207$ kg of the liquid froze$).$ As a result, the liquid lost $16,000J$ of heat until thermal equilibrium was reached. Determine the latent heat of the substance & the initial temperature of the cup.

$L=$

$T_{\text{c}\text{u}\text{p}\text{,}i}=C$