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Simplifying 7u + 9 + -2(-5u + -3) = 3(u + -1) Reorder the terms: 7u + 9 + -2(-3 + -5u) = 3(u + -1) 7u + 9 + (-3 * -2 + -5u * -2) = 3(u + -1) 7u + 9 + (6 + 10u) = 3(u + -1) Reorder the terms: 9 + 6 + 7u + 10u = 3(u + -1) Combine like terms: 9 + 6 = 15 15 + 7u + 10u = 3(u + -1) Combine like terms: 7u + 10u = 17u 15 + 17u = 3(u + -1) Reorder the terms: 15 + 17u = 3(-1 + u) 15 + 17u = (-1 * 3 + u * 3) 15 + 17u = (-3 + 3u) Solving 15 + 17u = -3 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 15 + 17u + -3u = -3 + 3u + -3u Combine like terms: 17u + -3u = 14u 15 + 14u = -3 + 3u + -3u Combine like terms: 3u + -3u = 0 15 + 14u = -3 + 0 15 + 14u = -3 Add '-15' to each side of the equation. 15 + -15 + 14u = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 14u = -3 + -15 14u = -3 + -15 Combine like terms: -3 + -15 = -18 14u = -18 Divide each side by '14'. u = -1.285714286 Simplifying u = -1.285714286
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