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Simplifying 2(u + 6) = 5u + 30 Reorder the terms: 2(6 + u) = 5u + 30 (6 * 2 + u * 2) = 5u + 30 (12 + 2u) = 5u + 30 Reorder the terms: 12 + 2u = 30 + 5u Solving 12 + 2u = 30 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 12 + 2u + -5u = 30 + 5u + -5u Combine like terms: 2u + -5u = -3u 12 + -3u = 30 + 5u + -5u Combine like terms: 5u + -5u = 0 12 + -3u = 30 + 0 12 + -3u = 30 Add '-12' to each side of the equation. 12 + -12 + -3u = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -3u = 30 + -12 -3u = 30 + -12 Combine like terms: 30 + -12 = 18 -3u = 18 Divide each side by '-3'. u = -6 Simplifying u = -6
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