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Simplifying 3u + -46 = -2(u + 8) Reorder the terms: -46 + 3u = -2(u + 8) Reorder the terms: -46 + 3u = -2(8 + u) -46 + 3u = (8 * -2 + u * -2) -46 + 3u = (-16 + -2u) Solving -46 + 3u = -16 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. -46 + 3u + 2u = -16 + -2u + 2u Combine like terms: 3u + 2u = 5u -46 + 5u = -16 + -2u + 2u Combine like terms: -2u + 2u = 0 -46 + 5u = -16 + 0 -46 + 5u = -16 Add '46' to each side of the equation. -46 + 46 + 5u = -16 + 46 Combine like terms: -46 + 46 = 0 0 + 5u = -16 + 46 5u = -16 + 46 Combine like terms: -16 + 46 = 30 5u = 30 Divide each side by '5'. u = 6 Simplifying u = 6
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