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Simplifying -2(u + 8) = -5u + -46 Reorder the terms: -2(8 + u) = -5u + -46 (8 * -2 + u * -2) = -5u + -46 (-16 + -2u) = -5u + -46 Reorder the terms: -16 + -2u = -46 + -5u Solving -16 + -2u = -46 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. -16 + -2u + 5u = -46 + -5u + 5u Combine like terms: -2u + 5u = 3u -16 + 3u = -46 + -5u + 5u Combine like terms: -5u + 5u = 0 -16 + 3u = -46 + 0 -16 + 3u = -46 Add '16' to each side of the equation. -16 + 16 + 3u = -46 + 16 Combine like terms: -16 + 16 = 0 0 + 3u = -46 + 16 3u = -46 + 16 Combine like terms: -46 + 16 = -30 3u = -30 Divide each side by '3'. u = -10 Simplifying u = -10
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