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Simplifying u2 + -5u + 8u = u2 + 2u + -4 Reorder the terms: -5u + 8u + u2 = u2 + 2u + -4 Combine like terms: -5u + 8u = 3u 3u + u2 = u2 + 2u + -4 Reorder the terms: 3u + u2 = -4 + 2u + u2 Add '-1u2' to each side of the equation. 3u + u2 + -1u2 = -4 + 2u + u2 + -1u2 Combine like terms: u2 + -1u2 = 0 3u + 0 = -4 + 2u + u2 + -1u2 3u = -4 + 2u + u2 + -1u2 Combine like terms: u2 + -1u2 = 0 3u = -4 + 2u + 0 3u = -4 + 2u Solving 3u = -4 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 3u + -2u = -4 + 2u + -2u Combine like terms: 3u + -2u = 1u 1u = -4 + 2u + -2u Combine like terms: 2u + -2u = 0 1u = -4 + 0 1u = -4 Divide each side by '1'. u = -4 Simplifying u = -4
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