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Simplifying 5(u + 2) + u = 3(u + -1) + 1 Reorder the terms: 5(2 + u) + u = 3(u + -1) + 1 (2 * 5 + u * 5) + u = 3(u + -1) + 1 (10 + 5u) + u = 3(u + -1) + 1 Combine like terms: 5u + u = 6u 10 + 6u = 3(u + -1) + 1 Reorder the terms: 10 + 6u = 3(-1 + u) + 1 10 + 6u = (-1 * 3 + u * 3) + 1 10 + 6u = (-3 + 3u) + 1 Reorder the terms: 10 + 6u = -3 + 1 + 3u Combine like terms: -3 + 1 = -2 10 + 6u = -2 + 3u Solving 10 + 6u = -2 + 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 + 6u + -3u = -2 + 3u + -3u Combine like terms: 6u + -3u = 3u 10 + 3u = -2 + 3u + -3u Combine like terms: 3u + -3u = 0 10 + 3u = -2 + 0 10 + 3u = -2 Add '-10' to each side of the equation. 10 + -10 + 3u = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 3u = -2 + -10 3u = -2 + -10 Combine like terms: -2 + -10 = -12 3u = -12 Divide each side by '3'. u = -4 Simplifying u = -4
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