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Simplifying -2(u + -8) = 3u + 46 Reorder the terms: -2(-8 + u) = 3u + 46 (-8 * -2 + u * -2) = 3u + 46 (16 + -2u) = 3u + 46 Reorder the terms: 16 + -2u = 46 + 3u Solving 16 + -2u = 46 + 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. 16 + -2u + -3u = 46 + 3u + -3u Combine like terms: -2u + -3u = -5u 16 + -5u = 46 + 3u + -3u Combine like terms: 3u + -3u = 0 16 + -5u = 46 + 0 16 + -5u = 46 Add '-16' to each side of the equation. 16 + -16 + -5u = 46 + -16 Combine like terms: 16 + -16 = 0 0 + -5u = 46 + -16 -5u = 46 + -16 Combine like terms: 46 + -16 = 30 -5u = 30 Divide each side by '-5'. u = -6 Simplifying u = -6
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