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