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Simplifying -3(u + 1) + 7v = 4(v + 1) + -5 Reorder the terms: -3(1 + u) + 7v = 4(v + 1) + -5 (1 * -3 + u * -3) + 7v = 4(v + 1) + -5 (-3 + -3u) + 7v = 4(v + 1) + -5 Reorder the terms: -3 + -3u + 7v = 4(1 + v) + -5 -3 + -3u + 7v = (1 * 4 + v * 4) + -5 -3 + -3u + 7v = (4 + 4v) + -5 Reorder the terms: -3 + -3u + 7v = 4 + -5 + 4v Combine like terms: 4 + -5 = -1 -3 + -3u + 7v = -1 + 4v Solving -3 + -3u + 7v = -1 + 4v 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 + 7v = -1 + 3 + 4v Reorder the terms: -3 + 3 + -3u + 7v = -1 + 3 + 4v Combine like terms: -3 + 3 = 0 0 + -3u + 7v = -1 + 3 + 4v -3u + 7v = -1 + 3 + 4v Combine like terms: -1 + 3 = 2 -3u + 7v = 2 + 4v Add '-7v' to each side of the equation. -3u + 7v + -7v = 2 + 4v + -7v Combine like terms: 7v + -7v = 0 -3u + 0 = 2 + 4v + -7v -3u = 2 + 4v + -7v Combine like terms: 4v + -7v = -3v -3u = 2 + -3v Divide each side by '-3'. u = -0.6666666667 + v Simplifying u = -0.6666666667 + v
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