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Simplifying 3(u + 6) = 6u + 33 Reorder the terms: 3(6 + u) = 6u + 33 (6 * 3 + u * 3) = 6u + 33 (18 + 3u) = 6u + 33 Reorder the terms: 18 + 3u = 33 + 6u Solving 18 + 3u = 33 + 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. 18 + 3u + -6u = 33 + 6u + -6u Combine like terms: 3u + -6u = -3u 18 + -3u = 33 + 6u + -6u Combine like terms: 6u + -6u = 0 18 + -3u = 33 + 0 18 + -3u = 33 Add '-18' to each side of the equation. 18 + -18 + -3u = 33 + -18 Combine like terms: 18 + -18 = 0 0 + -3u = 33 + -18 -3u = 33 + -18 Combine like terms: 33 + -18 = 15 -3u = 15 Divide each side by '-3'. u = -5 Simplifying u = -5
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