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Simplifying 5(3u + -3) + 3u + 1 = 6(u + 1) + 2u Reorder the terms: 5(-3 + 3u) + 3u + 1 = 6(u + 1) + 2u (-3 * 5 + 3u * 5) + 3u + 1 = 6(u + 1) + 2u (-15 + 15u) + 3u + 1 = 6(u + 1) + 2u Reorder the terms: -15 + 1 + 15u + 3u = 6(u + 1) + 2u Combine like terms: -15 + 1 = -14 -14 + 15u + 3u = 6(u + 1) + 2u Combine like terms: 15u + 3u = 18u -14 + 18u = 6(u + 1) + 2u Reorder the terms: -14 + 18u = 6(1 + u) + 2u -14 + 18u = (1 * 6 + u * 6) + 2u -14 + 18u = (6 + 6u) + 2u Combine like terms: 6u + 2u = 8u -14 + 18u = 6 + 8u Solving -14 + 18u = 6 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -14 + 18u + -8u = 6 + 8u + -8u Combine like terms: 18u + -8u = 10u -14 + 10u = 6 + 8u + -8u Combine like terms: 8u + -8u = 0 -14 + 10u = 6 + 0 -14 + 10u = 6 Add '14' to each side of the equation. -14 + 14 + 10u = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 10u = 6 + 14 10u = 6 + 14 Combine like terms: 6 + 14 = 20 10u = 20 Divide each side by '10'. u = 2 Simplifying u = 2
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