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Simplifying 40 = 19(2 + -5u) + -5(9u + -11.6) 40 = (2 * 19 + -5u * 19) + -5(9u + -11.6) 40 = (38 + -95u) + -5(9u + -11.6) Reorder the terms: 40 = 38 + -95u + -5(-11.6 + 9u) 40 = 38 + -95u + (-11.6 * -5 + 9u * -5) 40 = 38 + -95u + (58 + -45u) Reorder the terms: 40 = 38 + 58 + -95u + -45u Combine like terms: 38 + 58 = 96 40 = 96 + -95u + -45u Combine like terms: -95u + -45u = -140u 40 = 96 + -140u Solving 40 = 96 + -140u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '140u' to each side of the equation. 40 + 140u = 96 + -140u + 140u Combine like terms: -140u + 140u = 0 40 + 140u = 96 + 0 40 + 140u = 96 Add '-40' to each side of the equation. 40 + -40 + 140u = 96 + -40 Combine like terms: 40 + -40 = 0 0 + 140u = 96 + -40 140u = 96 + -40 Combine like terms: 96 + -40 = 56 140u = 56 Divide each side by '140'. u = 0.4 Simplifying u = 0.4
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