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Simplifying 2(u + 1) + -1u = 4(u + -1) + 9 Reorder the terms: 2(1 + u) + -1u = 4(u + -1) + 9 (1 * 2 + u * 2) + -1u = 4(u + -1) + 9 (2 + 2u) + -1u = 4(u + -1) + 9 Combine like terms: 2u + -1u = 1u 2 + 1u = 4(u + -1) + 9 Reorder the terms: 2 + 1u = 4(-1 + u) + 9 2 + 1u = (-1 * 4 + u * 4) + 9 2 + 1u = (-4 + 4u) + 9 Reorder the terms: 2 + 1u = -4 + 9 + 4u Combine like terms: -4 + 9 = 5 2 + 1u = 5 + 4u Solving 2 + 1u = 5 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 2 + 1u + -4u = 5 + 4u + -4u Combine like terms: 1u + -4u = -3u 2 + -3u = 5 + 4u + -4u Combine like terms: 4u + -4u = 0 2 + -3u = 5 + 0 2 + -3u = 5 Add '-2' to each side of the equation. 2 + -2 + -3u = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -3u = 5 + -2 -3u = 5 + -2 Combine like terms: 5 + -2 = 3 -3u = 3 Divide each side by '-3'. u = -1 Simplifying u = -1
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