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Simplifying 5(5u + 3) + -5(2u + 1) = 27 Reorder the terms: 5(3 + 5u) + -5(2u + 1) = 27 (3 * 5 + 5u * 5) + -5(2u + 1) = 27 (15 + 25u) + -5(2u + 1) = 27 Reorder the terms: 15 + 25u + -5(1 + 2u) = 27 15 + 25u + (1 * -5 + 2u * -5) = 27 15 + 25u + (-5 + -10u) = 27 Reorder the terms: 15 + -5 + 25u + -10u = 27 Combine like terms: 15 + -5 = 10 10 + 25u + -10u = 27 Combine like terms: 25u + -10u = 15u 10 + 15u = 27 Solving 10 + 15u = 27 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 15u = 27 + -10 Combine like terms: 10 + -10 = 0 0 + 15u = 27 + -10 15u = 27 + -10 Combine like terms: 27 + -10 = 17 15u = 17 Divide each side by '15'. u = 1.133333333 Simplifying u = 1.133333333
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