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Simplifying (3u + -2v + 4) + -1(3v + -4u + -5) = 0 Reorder the terms: (4 + 3u + -2v) + -1(3v + -4u + -5) = 0 Remove parenthesis around (4 + 3u + -2v) 4 + 3u + -2v + -1(3v + -4u + -5) = 0 Reorder the terms: 4 + 3u + -2v + -1(-5 + -4u + 3v) = 0 4 + 3u + -2v + (-5 * -1 + -4u * -1 + 3v * -1) = 0 4 + 3u + -2v + (5 + 4u + -3v) = 0 Reorder the terms: 4 + 5 + 3u + 4u + -2v + -3v = 0 Combine like terms: 4 + 5 = 9 9 + 3u + 4u + -2v + -3v = 0 Combine like terms: 3u + 4u = 7u 9 + 7u + -2v + -3v = 0 Combine like terms: -2v + -3v = -5v 9 + 7u + -5v = 0 Solving 9 + 7u + -5v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 7u + -9 + -5v = 0 + -9 Reorder the terms: 9 + -9 + 7u + -5v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7u + -5v = 0 + -9 7u + -5v = 0 + -9 Combine like terms: 0 + -9 = -9 7u + -5v = -9 Add '5v' to each side of the equation. 7u + -5v + 5v = -9 + 5v Combine like terms: -5v + 5v = 0 7u + 0 = -9 + 5v 7u = -9 + 5v Divide each side by '7'. u = -1.285714286 + 0.7142857143v Simplifying u = -1.285714286 + 0.7142857143v
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