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Simplifying 3 + 7v + 2u + -4v + 9 = 0 Reorder the terms: 3 + 9 + 2u + 7v + -4v = 0 Combine like terms: 3 + 9 = 12 12 + 2u + 7v + -4v = 0 Combine like terms: 7v + -4v = 3v 12 + 2u + 3v = 0 Solving 12 + 2u + 3v = 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 + 3v = 0 + -12 Reorder the terms: 12 + -12 + 2u + 3v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2u + 3v = 0 + -12 2u + 3v = 0 + -12 Combine like terms: 0 + -12 = -12 2u + 3v = -12 Add '-3v' to each side of the equation. 2u + 3v + -3v = -12 + -3v Combine like terms: 3v + -3v = 0 2u + 0 = -12 + -3v 2u = -12 + -3v Divide each side by '2'. u = -6 + -1.5v Simplifying u = -6 + -1.5v
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