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Simplifying 10(2u + 3) = 3(3u + 1) Reorder the terms: 10(3 + 2u) = 3(3u + 1) (3 * 10 + 2u * 10) = 3(3u + 1) (30 + 20u) = 3(3u + 1) Reorder the terms: 30 + 20u = 3(1 + 3u) 30 + 20u = (1 * 3 + 3u * 3) 30 + 20u = (3 + 9u) Solving 30 + 20u = 3 + 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. 30 + 20u + -9u = 3 + 9u + -9u Combine like terms: 20u + -9u = 11u 30 + 11u = 3 + 9u + -9u Combine like terms: 9u + -9u = 0 30 + 11u = 3 + 0 30 + 11u = 3 Add '-30' to each side of the equation. 30 + -30 + 11u = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 11u = 3 + -30 11u = 3 + -30 Combine like terms: 3 + -30 = -27 11u = -27 Divide each side by '11'. u = -2.454545455 Simplifying u = -2.454545455
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