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Simplifying -6u + 27 + 6u = 6u + 42 Reorder the terms: 27 + -6u + 6u = 6u + 42 Combine like terms: -6u + 6u = 0 27 + 0 = 6u + 42 27 = 6u + 42 Reorder the terms: 27 = 42 + 6u Solving 27 = 42 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 27 + -6u = 42 + 6u + -6u Combine like terms: 6u + -6u = 0 27 + -6u = 42 + 0 27 + -6u = 42 Add '-27' to each side of the equation. 27 + -27 + -6u = 42 + -27 Combine like terms: 27 + -27 = 0 0 + -6u = 42 + -27 -6u = 42 + -27 Combine like terms: 42 + -27 = 15 -6u = 15 Divide each side by '-6'. u = -2.5 Simplifying u = -2.5
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