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Simplifying 12(u + 8 + 3v) = 0 Reorder the terms: 12(8 + u + 3v) = 0 (8 * 12 + u * 12 + 3v * 12) = 0 (96 + 12u + 36v) = 0 Solving 96 + 12u + 36v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + 12u + -96 + 36v = 0 + -96 Reorder the terms: 96 + -96 + 12u + 36v = 0 + -96 Combine like terms: 96 + -96 = 0 0 + 12u + 36v = 0 + -96 12u + 36v = 0 + -96 Combine like terms: 0 + -96 = -96 12u + 36v = -96 Add '-36v' to each side of the equation. 12u + 36v + -36v = -96 + -36v Combine like terms: 36v + -36v = 0 12u + 0 = -96 + -36v 12u = -96 + -36v Divide each side by '12'. u = -8 + -3v Simplifying u = -8 + -3v
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