Q:       Determine the value of the voltage V₀.

Solution:    we have to calculate the voltage V₀.  The circuit may be redrawn like  

                                    Here from the circuit

                                                I₁= 4mA

                                                 I₂= - 2mA

                                                 I₃= 1mA

By applying KVL for loop 4

                                    1k(I₄ - I₁) + 1k(I₄- I2+I₃) + 1kI₃ + 2k(I₄+I₃) +1kI₄ = 0

                                    1kI₄ - 1kI₁ + 1kI₄ - 1kI₂ +1kI₃ +2kI₃+ 2kI₄+1kI₄ =  0

                                                                                           1+ 5kI₄ - 4 +2+2 =0

                                                                                                        5kI₄ = -1

                                                                                                I₄ = -1/5k= -0.2 mA

                        Now from the circuit

                                                            V₀ = 2k (I₄ + I₃)

                                                                  =2k (-0.2 +1)

                                                            V₀ = 1.6 V