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Simplifying 8u + 42 = 5(u + 6) Reorder the terms: 42 + 8u = 5(u + 6) Reorder the terms: 42 + 8u = 5(6 + u) 42 + 8u = (6 * 5 + u * 5) 42 + 8u = (30 + 5u) Solving 42 + 8u = 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. 42 + 8u + -5u = 30 + 5u + -5u Combine like terms: 8u + -5u = 3u 42 + 3u = 30 + 5u + -5u Combine like terms: 5u + -5u = 0 42 + 3u = 30 + 0 42 + 3u = 30 Add '-42' to each side of the equation. 42 + -42 + 3u = 30 + -42 Combine like terms: 42 + -42 = 0 0 + 3u = 30 + -42 3u = 30 + -42 Combine like terms: 30 + -42 = -12 3u = -12 Divide each side by '3'. u = -4 Simplifying u = -4
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