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Simplifying 3u + -46 = -8(u + -8) Reorder the terms: -46 + 3u = -8(u + -8) Reorder the terms: -46 + 3u = -8(-8 + u) -46 + 3u = (-8 * -8 + u * -8) -46 + 3u = (64 + -8u) Solving -46 + 3u = 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 + 3u + 8u = 64 + -8u + 8u Combine like terms: 3u + 8u = 11u -46 + 11u = 64 + -8u + 8u Combine like terms: -8u + 8u = 0 -46 + 11u = 64 + 0 -46 + 11u = 64 Add '46' to each side of the equation. -46 + 46 + 11u = 64 + 46 Combine like terms: -46 + 46 = 0 0 + 11u = 64 + 46 11u = 64 + 46 Combine like terms: 64 + 46 = 110 11u = 110 Divide each side by '11'. u = 10 Simplifying u = 10
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