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Simplifying 9u + 42 = -3(u + -6) Reorder the terms: 42 + 9u = -3(u + -6) Reorder the terms: 42 + 9u = -3(-6 + u) 42 + 9u = (-6 * -3 + u * -3) 42 + 9u = (18 + -3u) Solving 42 + 9u = 18 + -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. 42 + 9u + 3u = 18 + -3u + 3u Combine like terms: 9u + 3u = 12u 42 + 12u = 18 + -3u + 3u Combine like terms: -3u + 3u = 0 42 + 12u = 18 + 0 42 + 12u = 18 Add '-42' to each side of the equation. 42 + -42 + 12u = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 12u = 18 + -42 12u = 18 + -42 Combine like terms: 18 + -42 = -24 12u = -24 Divide each side by '12'. u = -2 Simplifying u = -2
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