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Simplifying 6(u + 5) = -3(u + -9) + 6u Reorder the terms: 6(5 + u) = -3(u + -9) + 6u (5 * 6 + u * 6) = -3(u + -9) + 6u (30 + 6u) = -3(u + -9) + 6u Reorder the terms: 30 + 6u = -3(-9 + u) + 6u 30 + 6u = (-9 * -3 + u * -3) + 6u 30 + 6u = (27 + -3u) + 6u Combine like terms: -3u + 6u = 3u 30 + 6u = 27 + 3u Solving 30 + 6u = 27 + 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. 30 + 6u + -3u = 27 + 3u + -3u Combine like terms: 6u + -3u = 3u 30 + 3u = 27 + 3u + -3u Combine like terms: 3u + -3u = 0 30 + 3u = 27 + 0 30 + 3u = 27 Add '-30' to each side of the equation. 30 + -30 + 3u = 27 + -30 Combine like terms: 30 + -30 = 0 0 + 3u = 27 + -30 3u = 27 + -30 Combine like terms: 27 + -30 = -3 3u = -3 Divide each side by '3'. u = -1 Simplifying u = -1
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