Question: maple gives me no solution !!

hi, I have 12 equations that I want to solve, when I try to solve them using maple 12 it gives me nothing just empty [ ]  but when I remove an equation from them, maple solved the other 11 equations !!

but i want to solve the 12 equations together.  the equations are :-

exp(-z[1][1]/t[1])*(sum(p[2][j]*exp(-z[2][j]/t[j]), j = 1 .. 3))*(sum(p[3][j]*exp(-z[3][j]/t[j]), j = 1 .. 3)) = t[1](1-w)/(p[1][1]*w),

exp(-z[1][2]/t[2])*(sum(p[2][j]*exp(-z[2][j]/t[j]), j = 1 .. 3))*(sum(p[3][j]*exp(-z[3][j]/t[j]), j = 1 .. 3)) = t[2](1-w)/(p[1][2]*w),

exp(-z[1][3]/t[3])*(sum(p[2][j]*exp(-z[2][j]/t[j]), j = 1 .. 3))*(sum(p[3][j]*exp(-z[3][j]/t[j]), j = 1 .. 3)) = t[3](1-w)/(p[1][3]*w),

exp(-z[2][1]/t[1])*(sum(p[1][j]*exp(-z[1][j]/t[j]), j = 1 .. 3))*(sum(p[3][j]*exp(-z[3][j]/t[j]), j = 1 .. 3)) = t[1](1-w)/(p[2][1]*w),

exp(-z[2][2]/t[2])*(sum(p[1][j]*exp(-z[1][j]/t[j]), j = 1 .. 3))*(sum(p[3][j]*exp(-z[3][j]/t[j]), j = 1 .. 3)) = t[2](1-w)/(p[2][2]*w),

exp(-z[2][3]/t[3])*(sum(p[1][j]*exp(-z[1][j]/t[j]), j = 1 .. 3))*(sum(p[3][j]*exp(-z[3][j]/t[j]), j = 1 .. 3)) = t[3](1-w)/(p[2][3]*w),

exp(-z[3][1]/t[1])*(sum(p[1][j]*exp(-z[1][j]/t[j]), j = 1 .. 3))*(sum(p[2][j]*exp(-z[2][j]/t[j]), j = 1 .. 3)) = t[1](1-w)/(p[3][1]*w),

exp(-z[3][2]/t[2])*(sum(p[1][j]*exp(-z[1][j]/t[j]), j = 1 .. 3))*(sum(p[2][j]*exp(-z[2][j]/t[j]), j = 1 .. 3)) = t[2](1-w)/(p[3][2]*w),

exp(-z[3][3]/t[3])*(sum(p[1][j]*exp(-z[1][j]/t[j]), j = 1 .. 3))*(sum(p[2][j]*exp(-z[2][j]/t[j]), j = 1 .. 3)) = t[3](1-w)/(p[3][3]*w),

z[1][1]+z[1][2]+z[1][3] = l[1],

z[2][1]+z[2][2]+z[2][3] = l[2],

z[3][1]+z[3][2]+z[3][3] = l[3],

and i want the value of these variables:-

z[1][1],  z[1][2],  z[1][3],  z[2][1],  z[2][2],  z[2][3],  z[3][1],  z[3][2],  z[3][3]

as I said when I remove the equation z[3][1]+z[3][2]+z[3][3] = l[3] every thing is ok but I really want it in my solution

ps: in a smaller system (i=1,2 and j=1,2) i have the same problem and it tells me "Warning, solutions may have been lost" and gives me no solutions and when i remove the last equation it give me solutions !!.

plz help