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Simplifying 30 = 6(u + 7) + -3u Reorder the terms: 30 = 6(7 + u) + -3u 30 = (7 * 6 + u * 6) + -3u 30 = (42 + 6u) + -3u Combine like terms: 6u + -3u = 3u 30 = 42 + 3u Solving 30 = 42 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. 30 + -3u = 42 + 3u + -3u Combine like terms: 3u + -3u = 0 30 + -3u = 42 + 0 30 + -3u = 42 Add '-30' to each side of the equation. 30 + -30 + -3u = 42 + -30 Combine like terms: 30 + -30 = 0 0 + -3u = 42 + -30 -3u = 42 + -30 Combine like terms: 42 + -30 = 12 -3u = 12 Divide each side by '-3'. u = -4 Simplifying u = -4
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