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Simplifying 6(u + 3) = -3(3u + -1) + 5u Reorder the terms: 6(3 + u) = -3(3u + -1) + 5u (3 * 6 + u * 6) = -3(3u + -1) + 5u (18 + 6u) = -3(3u + -1) + 5u Reorder the terms: 18 + 6u = -3(-1 + 3u) + 5u 18 + 6u = (-1 * -3 + 3u * -3) + 5u 18 + 6u = (3 + -9u) + 5u Combine like terms: -9u + 5u = -4u 18 + 6u = 3 + -4u Solving 18 + 6u = 3 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 18 + 6u + 4u = 3 + -4u + 4u Combine like terms: 6u + 4u = 10u 18 + 10u = 3 + -4u + 4u Combine like terms: -4u + 4u = 0 18 + 10u = 3 + 0 18 + 10u = 3 Add '-18' to each side of the equation. 18 + -18 + 10u = 3 + -18 Combine like terms: 18 + -18 = 0 0 + 10u = 3 + -18 10u = 3 + -18 Combine like terms: 3 + -18 = -15 10u = -15 Divide each side by '10'. u = -1.5 Simplifying u = -1.5
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