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2v_3 - 3(6 + 2v_1) = 4 \implies 2v_3 - 18 - 6v_1 = 4 \implies 2v_3 = 22 + 6v_1 \implies v_3 = 11 + 3v_1.
Substitute $v_3$ into the second equation:
3v_1 - (11 + 3v_1) = 5 \implies -11 = 5, \text{ which is a contradiction.}

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