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Simplifying -5u + 43 = -8(u + -8) Reorder the terms: 43 + -5u = -8(u + -8) Reorder the terms: 43 + -5u = -8(-8 + u) 43 + -5u = (-8 * -8 + u * -8) 43 + -5u = (64 + -8u) Solving 43 + -5u = 64 + -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. 43 + -5u + 8u = 64 + -8u + 8u Combine like terms: -5u + 8u = 3u 43 + 3u = 64 + -8u + 8u Combine like terms: -8u + 8u = 0 43 + 3u = 64 + 0 43 + 3u = 64 Add '-43' to each side of the equation. 43 + -43 + 3u = 64 + -43 Combine like terms: 43 + -43 = 0 0 + 3u = 64 + -43 3u = 64 + -43 Combine like terms: 64 + -43 = 21 3u = 21 Divide each side by '3'. u = 7 Simplifying u = 7
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