Show that only $3$ of the $6$ loop equations are independent by adding the equations from loops $L_A,L_B,$ and $L_C$ to form any of the $3$ other loop equations. For example, from Figure $3\mathrm{.}5,$ loop $L_D$ appears to be a composite of loops $L_A$ and $L_B.$ Therefore, adding together the equations from loops $L_A$ and $L_B$ should yield the equation formed from loop $L_D.$ In general, the number of independent KVL equations is equal to the number of meshes. $($A mesh is loop that does not enclose any other loops, e$.$g$.,$ the loops of $L_A,L_B,$ and $L_C.)$