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Simplifying 2(u + 1) = -3u + 42 Reorder the terms: 2(1 + u) = -3u + 42 (1 * 2 + u * 2) = -3u + 42 (2 + 2u) = -3u + 42 Reorder the terms: 2 + 2u = 42 + -3u Solving 2 + 2u = 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. 2 + 2u + 3u = 42 + -3u + 3u Combine like terms: 2u + 3u = 5u 2 + 5u = 42 + -3u + 3u Combine like terms: -3u + 3u = 0 2 + 5u = 42 + 0 2 + 5u = 42 Add '-2' to each side of the equation. 2 + -2 + 5u = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 5u = 42 + -2 5u = 42 + -2 Combine like terms: 42 + -2 = 40 5u = 40 Divide each side by '5'. u = 8 Simplifying u = 8
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