There are no voltage sources, nor are there any dependent sources, so all we need to do is write a KCL equation at each of the essential nodes other than the reference node.

Node A:

Summing the currents INTO node A gives

1m - V_A / 4K + (V_B - V_A) / 8K = 0

Collecting terms and simplifying gives

3 V_A - V_B = 8 (Equation 1)

Node B:

Summing the currents into node B gives

(V_A - V_B) / 8K - V_B / 16K - 2m = 0

Collecting terms and simplifying gives

2 V_A - 3 V_B = 32 (Equation 2)

Solving Equation 1 and Equation 2 yields

V_A = - 1.143
V_B = - 11.43