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Simplifying 10u + 5 + -1u = 10(5 + -1u) + u + -27 Reorder the terms: 5 + 10u + -1u = 10(5 + -1u) + u + -27 Combine like terms: 10u + -1u = 9u 5 + 9u = 10(5 + -1u) + u + -27 5 + 9u = (5 * 10 + -1u * 10) + u + -27 5 + 9u = (50 + -10u) + u + -27 Reorder the terms: 5 + 9u = 50 + -27 + -10u + u Combine like terms: 50 + -27 = 23 5 + 9u = 23 + -10u + u Combine like terms: -10u + u = -9u 5 + 9u = 23 + -9u Solving 5 + 9u = 23 + -9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '9u' to each side of the equation. 5 + 9u + 9u = 23 + -9u + 9u Combine like terms: 9u + 9u = 18u 5 + 18u = 23 + -9u + 9u Combine like terms: -9u + 9u = 0 5 + 18u = 23 + 0 5 + 18u = 23 Add '-5' to each side of the equation. 5 + -5 + 18u = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 18u = 23 + -5 18u = 23 + -5 Combine like terms: 23 + -5 = 18 18u = 18 Divide each side by '18'. u = 1 Simplifying u = 1
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