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Simplifying 4(u + 1) + u = 3(u + -2) + 2 Reorder the terms: 4(1 + u) + u = 3(u + -2) + 2 (1 * 4 + u * 4) + u = 3(u + -2) + 2 (4 + 4u) + u = 3(u + -2) + 2 Combine like terms: 4u + u = 5u 4 + 5u = 3(u + -2) + 2 Reorder the terms: 4 + 5u = 3(-2 + u) + 2 4 + 5u = (-2 * 3 + u * 3) + 2 4 + 5u = (-6 + 3u) + 2 Reorder the terms: 4 + 5u = -6 + 2 + 3u Combine like terms: -6 + 2 = -4 4 + 5u = -4 + 3u Solving 4 + 5u = -4 + 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. 4 + 5u + -3u = -4 + 3u + -3u Combine like terms: 5u + -3u = 2u 4 + 2u = -4 + 3u + -3u Combine like terms: 3u + -3u = 0 4 + 2u = -4 + 0 4 + 2u = -4 Add '-4' to each side of the equation. 4 + -4 + 2u = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 2u = -4 + -4 2u = -4 + -4 Combine like terms: -4 + -4 = -8 2u = -8 Divide each side by '2'. u = -4 Simplifying u = -4
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