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Simplifying 3u + -4v = u + 13v + -2 Reorder the terms: 3u + -4v = -2 + u + 13v Solving 3u + -4v = -2 + u + 13v Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. 3u + -1u + -4v = -2 + u + -1u + 13v Combine like terms: 3u + -1u = 2u 2u + -4v = -2 + u + -1u + 13v Combine like terms: u + -1u = 0 2u + -4v = -2 + 0 + 13v 2u + -4v = -2 + 13v Add '4v' to each side of the equation. 2u + -4v + 4v = -2 + 13v + 4v Combine like terms: -4v + 4v = 0 2u + 0 = -2 + 13v + 4v 2u = -2 + 13v + 4v Combine like terms: 13v + 4v = 17v 2u = -2 + 17v Divide each side by '2'. u = -1 + 8.5v Simplifying u = -1 + 8.5v
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