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Simplifying 6u + 8v + -7 + 6u + -4v + 8w = 0 Reorder the terms: -7 + 6u + 6u + 8v + -4v + 8w = 0 Combine like terms: 6u + 6u = 12u -7 + 12u + 8v + -4v + 8w = 0 Combine like terms: 8v + -4v = 4v -7 + 12u + 4v + 8w = 0 Solving -7 + 12u + 4v + 8w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 12u + 4v + 7 + 8w = 0 + 7 Reorder the terms: -7 + 7 + 12u + 4v + 8w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 12u + 4v + 8w = 0 + 7 12u + 4v + 8w = 0 + 7 Combine like terms: 0 + 7 = 7 12u + 4v + 8w = 7 Add '-4v' to each side of the equation. 12u + 4v + -4v + 8w = 7 + -4v Combine like terms: 4v + -4v = 0 12u + 0 + 8w = 7 + -4v 12u + 8w = 7 + -4v Add '-8w' to each side of the equation. 12u + 8w + -8w = 7 + -4v + -8w Combine like terms: 8w + -8w = 0 12u + 0 = 7 + -4v + -8w 12u = 7 + -4v + -8w Divide each side by '12'. u = 0.5833333333 + -0.3333333333v + -0.6666666667w Simplifying u = 0.5833333333 + -0.3333333333v + -0.6666666667w
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