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Simplifying 2u + -3 = 5(4 + -1u) * 2 Reorder the terms: -3 + 2u = 5(4 + -1u) * 2 Reorder the terms for easier multiplication: -3 + 2u = 5 * 2(4 + -1u) Multiply 5 * 2 -3 + 2u = 10(4 + -1u) -3 + 2u = (4 * 10 + -1u * 10) -3 + 2u = (40 + -10u) Solving -3 + 2u = 40 + -10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '10u' to each side of the equation. -3 + 2u + 10u = 40 + -10u + 10u Combine like terms: 2u + 10u = 12u -3 + 12u = 40 + -10u + 10u Combine like terms: -10u + 10u = 0 -3 + 12u = 40 + 0 -3 + 12u = 40 Add '3' to each side of the equation. -3 + 3 + 12u = 40 + 3 Combine like terms: -3 + 3 = 0 0 + 12u = 40 + 3 12u = 40 + 3 Combine like terms: 40 + 3 = 43 12u = 43 Divide each side by '12'. u = 3.583333333 Simplifying u = 3.583333333
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