Step 1:

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Find the thevenins equivalent voltage.

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1.Open the load resistor.

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2.Calculate the Open Circuit Voltage. This is the Thevenin Voltage \"\".

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Redraw the circuit :

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\"\"

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Find the current in loop.

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\"\"

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\"\"

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\"\"

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\"\"

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\"\".

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Voltage due to the resistor \"\".

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\"\"

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\"\"

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\"\".

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Step 2:

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Find Thevenin Voltage \"\".

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Thevenin Voltage \"\".

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\"\"

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\"\".

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Therefore Thevenin Voltage \"\".

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Observe the circuit,

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\"\".

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Voltage at the resistor \"\".

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\"\"

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\"\".

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Substitute \"\" and \"\".

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\"\"

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\"\" 

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Solution :

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\"\".