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Simplifying -2(-9u + 5) + -1u = 3(u + -9) + -1 Reorder the terms: -2(5 + -9u) + -1u = 3(u + -9) + -1 (5 * -2 + -9u * -2) + -1u = 3(u + -9) + -1 (-10 + 18u) + -1u = 3(u + -9) + -1 Combine like terms: 18u + -1u = 17u -10 + 17u = 3(u + -9) + -1 Reorder the terms: -10 + 17u = 3(-9 + u) + -1 -10 + 17u = (-9 * 3 + u * 3) + -1 -10 + 17u = (-27 + 3u) + -1 Reorder the terms: -10 + 17u = -27 + -1 + 3u Combine like terms: -27 + -1 = -28 -10 + 17u = -28 + 3u Solving -10 + 17u = -28 + 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. -10 + 17u + -3u = -28 + 3u + -3u Combine like terms: 17u + -3u = 14u -10 + 14u = -28 + 3u + -3u Combine like terms: 3u + -3u = 0 -10 + 14u = -28 + 0 -10 + 14u = -28 Add '10' to each side of the equation. -10 + 10 + 14u = -28 + 10 Combine like terms: -10 + 10 = 0 0 + 14u = -28 + 10 14u = -28 + 10 Combine like terms: -28 + 10 = -18 14u = -18 Divide each side by '14'. u = -1.285714286 Simplifying u = -1.285714286
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