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Simplifying 3u + 30 = 6(u + 1) Reorder the terms: 30 + 3u = 6(u + 1) Reorder the terms: 30 + 3u = 6(1 + u) 30 + 3u = (1 * 6 + u * 6) 30 + 3u = (6 + 6u) Solving 30 + 3u = 6 + 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 + 3u + -6u = 6 + 6u + -6u Combine like terms: 3u + -6u = -3u 30 + -3u = 6 + 6u + -6u Combine like terms: 6u + -6u = 0 30 + -3u = 6 + 0 30 + -3u = 6 Add '-30' to each side of the equation. 30 + -30 + -3u = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -3u = 6 + -30 -3u = 6 + -30 Combine like terms: 6 + -30 = -24 -3u = -24 Divide each side by '-3'. u = 8 Simplifying u = 8
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