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Simplifying 30 = 3u + 3(u + -6) Reorder the terms: 30 = 3u + 3(-6 + u) 30 = 3u + (-6 * 3 + u * 3) 30 = 3u + (-18 + 3u) Reorder the terms: 30 = -18 + 3u + 3u Combine like terms: 3u + 3u = 6u 30 = -18 + 6u Solving 30 = -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. 30 + -6u = -18 + 6u + -6u Combine like terms: 6u + -6u = 0 30 + -6u = -18 + 0 30 + -6u = -18 Add '-30' to each side of the equation. 30 + -30 + -6u = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -6u = -18 + -30 -6u = -18 + -30 Combine like terms: -18 + -30 = -48 -6u = -48 Divide each side by '-6'. u = 8 Simplifying u = 8
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