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