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Simplifying 3u + 5 + -2(-3u + -2) = 5(u + -1) Reorder the terms: 3u + 5 + -2(-2 + -3u) = 5(u + -1) 3u + 5 + (-2 * -2 + -3u * -2) = 5(u + -1) 3u + 5 + (4 + 6u) = 5(u + -1) Reorder the terms: 5 + 4 + 3u + 6u = 5(u + -1) Combine like terms: 5 + 4 = 9 9 + 3u + 6u = 5(u + -1) Combine like terms: 3u + 6u = 9u 9 + 9u = 5(u + -1) Reorder the terms: 9 + 9u = 5(-1 + u) 9 + 9u = (-1 * 5 + u * 5) 9 + 9u = (-5 + 5u) Solving 9 + 9u = -5 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 9 + 9u + -5u = -5 + 5u + -5u Combine like terms: 9u + -5u = 4u 9 + 4u = -5 + 5u + -5u Combine like terms: 5u + -5u = 0 9 + 4u = -5 + 0 9 + 4u = -5 Add '-9' to each side of the equation. 9 + -9 + 4u = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 4u = -5 + -9 4u = -5 + -9 Combine like terms: -5 + -9 = -14 4u = -14 Divide each side by '4'. u = -3.5 Simplifying u = -3.5
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