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Simplifying 12u + 12v + 12 + -6V + 12 = 0 Reorder the terms: 12 + 12 + -6V + 12u + 12v = 0 Combine like terms: 12 + 12 = 24 24 + -6V + 12u + 12v = 0 Solving 24 + -6V + 12u + 12v = 0 Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -6V + 12u + -24 + 12v = 0 + -24 Reorder the terms: 24 + -24 + -6V + 12u + 12v = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -6V + 12u + 12v = 0 + -24 -6V + 12u + 12v = 0 + -24 Combine like terms: 0 + -24 = -24 -6V + 12u + 12v = -24 Add '-12u' to each side of the equation. -6V + 12u + -12u + 12v = -24 + -12u Combine like terms: 12u + -12u = 0 -6V + 0 + 12v = -24 + -12u -6V + 12v = -24 + -12u Add '-12v' to each side of the equation. -6V + 12v + -12v = -24 + -12u + -12v Combine like terms: 12v + -12v = 0 -6V + 0 = -24 + -12u + -12v -6V = -24 + -12u + -12v Divide each side by '-6'. V = 4 + 2u + 2v Simplifying V = 4 + 2u + 2v
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