Kirchhoff's Rules Were Applied to a Four-Loop Network $I_{1}, I_{2}, l_{3}$

Short Answer

Kirchhoff's rules were applied to a four-loop network. Solve for currents $I_{1}, I_{2}, l_{3}$ , and $I_{4}$ in this resulting system of equations:
$-2 I_{1}+3 I_{2}+2 I_{3}=-18$
$\begin{aligned}3 I_{1}+3 I_{3}-4 I_{4} & =-13 \\I_{1}+5 I_{2}+5 I_{4} & =0 \\-10 I_{1}+I_{2}-5 I_{3}-8 I_{4} & =5\end{aligned}$
Find the loop currents.