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