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Simplifying 6u + 42 = 9(u + -2) Reorder the terms: 42 + 6u = 9(u + -2) Reorder the terms: 42 + 6u = 9(-2 + u) 42 + 6u = (-2 * 9 + u * 9) 42 + 6u = (-18 + 9u) Solving 42 + 6u = -18 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 42 + 6u + -9u = -18 + 9u + -9u Combine like terms: 6u + -9u = -3u 42 + -3u = -18 + 9u + -9u Combine like terms: 9u + -9u = 0 42 + -3u = -18 + 0 42 + -3u = -18 Add '-42' to each side of the equation. 42 + -42 + -3u = -18 + -42 Combine like terms: 42 + -42 = 0 0 + -3u = -18 + -42 -3u = -18 + -42 Combine like terms: -18 + -42 = -60 -3u = -60 Divide each side by '-3'. u = 20 Simplifying u = 20
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