Hi there,
I am not quite sure what you want to achieve. But this command might be useful:
Normal /@ CoefficientArrays[eqns]
(*{{-1, 4, 4}, {{1, 1, -2}, {3, 2, 4}, {4, 3, 3}}}*)
You can of course get all in one matrix:
Append[Transpose[#[[2]]], #[[1]]] &@ Normal[CoefficientArrays[eqns]]
(*{{1, 3, 4}, {1, 2, 3}, {-2, 4, 3}, {-1, 4, 4}}*)
Or, finally:
Transpose@Append[Transpose[#[[2]]], #[[1]]] & @ Normal[CoefficientArrays[eqns]]
Cheers,
M.