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Simplifying -5u + 35 = 3(u + -9) Reorder the terms: 35 + -5u = 3(u + -9) Reorder the terms: 35 + -5u = 3(-9 + u) 35 + -5u = (-9 * 3 + u * 3) 35 + -5u = (-27 + 3u) Solving 35 + -5u = -27 + 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. 35 + -5u + -3u = -27 + 3u + -3u Combine like terms: -5u + -3u = -8u 35 + -8u = -27 + 3u + -3u Combine like terms: 3u + -3u = 0 35 + -8u = -27 + 0 35 + -8u = -27 Add '-35' to each side of the equation. 35 + -35 + -8u = -27 + -35 Combine like terms: 35 + -35 = 0 0 + -8u = -27 + -35 -8u = -27 + -35 Combine like terms: -27 + -35 = -62 -8u = -62 Divide each side by '-8'. u = 7.75 Simplifying u = 7.75
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