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Simplifying 7u + -9 + 2(2u + 6) = -3(u + 5) Reorder the terms: 7u + -9 + 2(6 + 2u) = -3(u + 5) 7u + -9 + (6 * 2 + 2u * 2) = -3(u + 5) 7u + -9 + (12 + 4u) = -3(u + 5) Reorder the terms: -9 + 12 + 7u + 4u = -3(u + 5) Combine like terms: -9 + 12 = 3 3 + 7u + 4u = -3(u + 5) Combine like terms: 7u + 4u = 11u 3 + 11u = -3(u + 5) Reorder the terms: 3 + 11u = -3(5 + u) 3 + 11u = (5 * -3 + u * -3) 3 + 11u = (-15 + -3u) Solving 3 + 11u = -15 + -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. 3 + 11u + 3u = -15 + -3u + 3u Combine like terms: 11u + 3u = 14u 3 + 14u = -15 + -3u + 3u Combine like terms: -3u + 3u = 0 3 + 14u = -15 + 0 3 + 14u = -15 Add '-3' to each side of the equation. 3 + -3 + 14u = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 14u = -15 + -3 14u = -15 + -3 Combine like terms: -15 + -3 = -18 14u = -18 Divide each side by '14'. u = -1.285714286 Simplifying u = -1.285714286
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