Q:       Determine the value of voltage V_o.

Solution:    We need to determine the voltage V_o. The circuit may be redrawn as

                        Now

                                                 V_x = (I₂- I₃) 6k .........1

                                                  I₁ = V_x/2k .............2

                                    Put  V_x from A into B we get

                                                  I₁ = (I₂ - I₃)6k/2k

                                                           = 3(I₂ - I₃)

                        Now from the circuit

                                     I₂ = 2mA

                                                 I₁= 6mA -  3I₃

                                By applying KVL equation for mesh 3

                                                  6kI₃ +2k (I₃ -I₁) +6k (I₃ - I₂ ) =0

                                     6kI₃+ 6kI₃ +2kI₃- 12 -2k (6mA -3I₃) =0

                                                   14kI₃ - 12 -12 + 6kI₃ = 0

                                                                            20kI₃ = 24

                                                                                  I₃ = 24/20= 1.2mA

                                                                        V₀ = 6kI₃

                                                                  = 6k(1.2mA) =7.2 V