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Simplifying -5u + 35 = -8(u + -4) Reorder the terms: 35 + -5u = -8(u + -4) Reorder the terms: 35 + -5u = -8(-4 + u) 35 + -5u = (-4 * -8 + u * -8) 35 + -5u = (32 + -8u) Solving 35 + -5u = 32 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. 35 + -5u + 8u = 32 + -8u + 8u Combine like terms: -5u + 8u = 3u 35 + 3u = 32 + -8u + 8u Combine like terms: -8u + 8u = 0 35 + 3u = 32 + 0 35 + 3u = 32 Add '-35' to each side of the equation. 35 + -35 + 3u = 32 + -35 Combine like terms: 35 + -35 = 0 0 + 3u = 32 + -35 3u = 32 + -35 Combine like terms: 32 + -35 = -3 3u = -3 Divide each side by '3'. u = -1 Simplifying u = -1
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