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Simplifying -5u + -46 = -8(u + 8) Reorder the terms: -46 + -5u = -8(u + 8) Reorder the terms: -46 + -5u = -8(8 + u) -46 + -5u = (8 * -8 + u * -8) -46 + -5u = (-64 + -8u) Solving -46 + -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. -46 + -5u + 8u = -64 + -8u + 8u Combine like terms: -5u + 8u = 3u -46 + 3u = -64 + -8u + 8u Combine like terms: -8u + 8u = 0 -46 + 3u = -64 + 0 -46 + 3u = -64 Add '46' to each side of the equation. -46 + 46 + 3u = -64 + 46 Combine like terms: -46 + 46 = 0 0 + 3u = -64 + 46 3u = -64 + 46 Combine like terms: -64 + 46 = -18 3u = -18 Divide each side by '3'. u = -6 Simplifying u = -6
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