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Simplifying 5u + 46 = -3(u + -2) Reorder the terms: 46 + 5u = -3(u + -2) Reorder the terms: 46 + 5u = -3(-2 + u) 46 + 5u = (-2 * -3 + u * -3) 46 + 5u = (6 + -3u) Solving 46 + 5u = 6 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. 46 + 5u + 3u = 6 + -3u + 3u Combine like terms: 5u + 3u = 8u 46 + 8u = 6 + -3u + 3u Combine like terms: -3u + 3u = 0 46 + 8u = 6 + 0 46 + 8u = 6 Add '-46' to each side of the equation. 46 + -46 + 8u = 6 + -46 Combine like terms: 46 + -46 = 0 0 + 8u = 6 + -46 8u = 6 + -46 Combine like terms: 6 + -46 = -40 8u = -40 Divide each side by '8'. u = -5 Simplifying u = -5
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