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Simplifying -3(u + 1) + 4v = 3(v + -1) + 7 Reorder the terms: -3(1 + u) + 4v = 3(v + -1) + 7 (1 * -3 + u * -3) + 4v = 3(v + -1) + 7 (-3 + -3u) + 4v = 3(v + -1) + 7 Reorder the terms: -3 + -3u + 4v = 3(-1 + v) + 7 -3 + -3u + 4v = (-1 * 3 + v * 3) + 7 -3 + -3u + 4v = (-3 + 3v) + 7 Reorder the terms: -3 + -3u + 4v = -3 + 7 + 3v Combine like terms: -3 + 7 = 4 -3 + -3u + 4v = 4 + 3v Solving -3 + -3u + 4v = 4 + 3v Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -3u + 3 + 4v = 4 + 3 + 3v Reorder the terms: -3 + 3 + -3u + 4v = 4 + 3 + 3v Combine like terms: -3 + 3 = 0 0 + -3u + 4v = 4 + 3 + 3v -3u + 4v = 4 + 3 + 3v Combine like terms: 4 + 3 = 7 -3u + 4v = 7 + 3v Add '-4v' to each side of the equation. -3u + 4v + -4v = 7 + 3v + -4v Combine like terms: 4v + -4v = 0 -3u + 0 = 7 + 3v + -4v -3u = 7 + 3v + -4v Combine like terms: 3v + -4v = -1v -3u = 7 + -1v Divide each side by '-3'. u = -2.333333333 + 0.3333333333v Simplifying u = -2.333333333 + 0.3333333333v
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