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Below I have added my solution after the question so please let me know how I can solve it after the last step:

enter image description here

These steps to follow to solve the question from where i left in my post ,

solution steps from where i left in the question

FYI :As the registance values are in killo ohm so current will be in mill amp and power will be milli watt .

Thanks a lot to @g36, @jasen and @rabi for your help . i learned something new today and its really going to help me in solving circuits easily.

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  • \$\begingroup\$ Are all resistors in Ohm? or in kOhm's? \$\endgroup\$ – G36 Jun 24 '18 at 10:33
  • \$\begingroup\$ You are rights its all it Kohm so the answer will be 100milli Watt \$\endgroup\$ – Laxmikanta Nayak Jun 24 '18 at 10:33
  • \$\begingroup\$ So, the current must also be in mA. \$\endgroup\$ – G36 Jun 24 '18 at 10:35
  • \$\begingroup\$ Yes i am updating the answer now \$\endgroup\$ – Laxmikanta Nayak Jun 24 '18 at 10:36
  • \$\begingroup\$ But do not repeat such a stupid mistake on the exam. Otherwise, you're gonna fail the exam. \$\endgroup\$ – G36 Jun 24 '18 at 10:40
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Try to redraw it this way next time:

enter image description here

schematic

simulate this circuit – Schematic created using CircuitLab

Notice how I mark the same node with different colors to see what is connected to what.

Also, notice that we can skip the left \$ 12\Omega\$ resistor (R1) because it is connected directly across the voltage source

So we are left with this:

schematic

simulate this circuit

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  • \$\begingroup\$ Got that thanks i understood the quick process now ,learnt something new thanks a lot.i updated my post with my answer now please check once. \$\endgroup\$ – Laxmikanta Nayak Jun 24 '18 at 10:26
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In your last circuit the top and bottom 12 ohm resistors are in parallel.

schematic

simulate this circuit – Schematic created using CircuitLab

You're nearly there.

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  • \$\begingroup\$ What about that wire ,i mean thats confusing me \$\endgroup\$ – Laxmikanta Nayak Jun 24 '18 at 9:50
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    \$\begingroup\$ Which wire do you mean? \$\endgroup\$ – Jasen Jun 24 '18 at 10:10
  • \$\begingroup\$ I got that after seeing the attached image in your post. Really learnt fron you how to solve quickly and in less step .thanks a lot. Please check my answer once i updated it in the post now. \$\endgroup\$ – Laxmikanta Nayak Jun 24 '18 at 10:24
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This will be your next simplified circuit. Now find the current through 3 ohms resistor. Then use parallel technique to find current in 4 ohms in your previous circuit. enter image description here

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  • \$\begingroup\$ Thats going to make the process lengthy as it will create 3 equations cant it be solved in another better way \$\endgroup\$ – Laxmikanta Nayak Jun 24 '18 at 9:58

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