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Simplifying 10u + 2(7u + -2) = 5(4u + 3) + 3u Reorder the terms: 10u + 2(-2 + 7u) = 5(4u + 3) + 3u 10u + (-2 * 2 + 7u * 2) = 5(4u + 3) + 3u 10u + (-4 + 14u) = 5(4u + 3) + 3u Reorder the terms: -4 + 10u + 14u = 5(4u + 3) + 3u Combine like terms: 10u + 14u = 24u -4 + 24u = 5(4u + 3) + 3u Reorder the terms: -4 + 24u = 5(3 + 4u) + 3u -4 + 24u = (3 * 5 + 4u * 5) + 3u -4 + 24u = (15 + 20u) + 3u Combine like terms: 20u + 3u = 23u -4 + 24u = 15 + 23u Solving -4 + 24u = 15 + 23u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-23u' to each side of the equation. -4 + 24u + -23u = 15 + 23u + -23u Combine like terms: 24u + -23u = 1u -4 + 1u = 15 + 23u + -23u Combine like terms: 23u + -23u = 0 -4 + 1u = 15 + 0 -4 + 1u = 15 Add '4' to each side of the equation. -4 + 4 + 1u = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 1u = 15 + 4 1u = 15 + 4 Combine like terms: 15 + 4 = 19 1u = 19 Divide each side by '1'. u = 19 Simplifying u = 19
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