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Simplifying -2(u + 1) + 5 = 3(u + 1) + -2 Reorder the terms: -2(1 + u) + 5 = 3(u + 1) + -2 (1 * -2 + u * -2) + 5 = 3(u + 1) + -2 (-2 + -2u) + 5 = 3(u + 1) + -2 Reorder the terms: -2 + 5 + -2u = 3(u + 1) + -2 Combine like terms: -2 + 5 = 3 3 + -2u = 3(u + 1) + -2 Reorder the terms: 3 + -2u = 3(1 + u) + -2 3 + -2u = (1 * 3 + u * 3) + -2 3 + -2u = (3 + 3u) + -2 Reorder the terms: 3 + -2u = 3 + -2 + 3u Combine like terms: 3 + -2 = 1 3 + -2u = 1 + 3u Solving 3 + -2u = 1 + 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 + -2u + -3u = 1 + 3u + -3u Combine like terms: -2u + -3u = -5u 3 + -5u = 1 + 3u + -3u Combine like terms: 3u + -3u = 0 3 + -5u = 1 + 0 3 + -5u = 1 Add '-3' to each side of the equation. 3 + -3 + -5u = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -5u = 1 + -3 -5u = 1 + -3 Combine like terms: 1 + -3 = -2 -5u = -2 Divide each side by '-5'. u = 0.4 Simplifying u = 0.4
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