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Simplifying 4(u + 9) = -3u + -34 Reorder the terms: 4(9 + u) = -3u + -34 (9 * 4 + u * 4) = -3u + -34 (36 + 4u) = -3u + -34 Reorder the terms: 36 + 4u = -34 + -3u Solving 36 + 4u = -34 + -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. 36 + 4u + 3u = -34 + -3u + 3u Combine like terms: 4u + 3u = 7u 36 + 7u = -34 + -3u + 3u Combine like terms: -3u + 3u = 0 36 + 7u = -34 + 0 36 + 7u = -34 Add '-36' to each side of the equation. 36 + -36 + 7u = -34 + -36 Combine like terms: 36 + -36 = 0 0 + 7u = -34 + -36 7u = -34 + -36 Combine like terms: -34 + -36 = -70 7u = -70 Divide each side by '7'. u = -10 Simplifying u = -10
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