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Simplifying -3u + 34 = 7(u + -8) Reorder the terms: 34 + -3u = 7(u + -8) Reorder the terms: 34 + -3u = 7(-8 + u) 34 + -3u = (-8 * 7 + u * 7) 34 + -3u = (-56 + 7u) Solving 34 + -3u = -56 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 34 + -3u + -7u = -56 + 7u + -7u Combine like terms: -3u + -7u = -10u 34 + -10u = -56 + 7u + -7u Combine like terms: 7u + -7u = 0 34 + -10u = -56 + 0 34 + -10u = -56 Add '-34' to each side of the equation. 34 + -34 + -10u = -56 + -34 Combine like terms: 34 + -34 = 0 0 + -10u = -56 + -34 -10u = -56 + -34 Combine like terms: -56 + -34 = -90 -10u = -90 Divide each side by '-10'. u = 9 Simplifying u = 9
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