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Simplifying 6(u + -1) + 5u + 1 = 5(u + 6) + -6 Reorder the terms: 6(-1 + u) + 5u + 1 = 5(u + 6) + -6 (-1 * 6 + u * 6) + 5u + 1 = 5(u + 6) + -6 (-6 + 6u) + 5u + 1 = 5(u + 6) + -6 Reorder the terms: -6 + 1 + 6u + 5u = 5(u + 6) + -6 Combine like terms: -6 + 1 = -5 -5 + 6u + 5u = 5(u + 6) + -6 Combine like terms: 6u + 5u = 11u -5 + 11u = 5(u + 6) + -6 Reorder the terms: -5 + 11u = 5(6 + u) + -6 -5 + 11u = (6 * 5 + u * 5) + -6 -5 + 11u = (30 + 5u) + -6 Reorder the terms: -5 + 11u = 30 + -6 + 5u Combine like terms: 30 + -6 = 24 -5 + 11u = 24 + 5u Solving -5 + 11u = 24 + 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. -5 + 11u + -5u = 24 + 5u + -5u Combine like terms: 11u + -5u = 6u -5 + 6u = 24 + 5u + -5u Combine like terms: 5u + -5u = 0 -5 + 6u = 24 + 0 -5 + 6u = 24 Add '5' to each side of the equation. -5 + 5 + 6u = 24 + 5 Combine like terms: -5 + 5 = 0 0 + 6u = 24 + 5 6u = 24 + 5 Combine like terms: 24 + 5 = 29 6u = 29 Divide each side by '6'. u = 4.833333333 Simplifying u = 4.833333333
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