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Simplifying -5(-4u + 3) + -8 = 3(u + -8) + -3 Reorder the terms: -5(3 + -4u) + -8 = 3(u + -8) + -3 (3 * -5 + -4u * -5) + -8 = 3(u + -8) + -3 (-15 + 20u) + -8 = 3(u + -8) + -3 Reorder the terms: -15 + -8 + 20u = 3(u + -8) + -3 Combine like terms: -15 + -8 = -23 -23 + 20u = 3(u + -8) + -3 Reorder the terms: -23 + 20u = 3(-8 + u) + -3 -23 + 20u = (-8 * 3 + u * 3) + -3 -23 + 20u = (-24 + 3u) + -3 Reorder the terms: -23 + 20u = -24 + -3 + 3u Combine like terms: -24 + -3 = -27 -23 + 20u = -27 + 3u Solving -23 + 20u = -27 + 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. -23 + 20u + -3u = -27 + 3u + -3u Combine like terms: 20u + -3u = 17u -23 + 17u = -27 + 3u + -3u Combine like terms: 3u + -3u = 0 -23 + 17u = -27 + 0 -23 + 17u = -27 Add '23' to each side of the equation. -23 + 23 + 17u = -27 + 23 Combine like terms: -23 + 23 = 0 0 + 17u = -27 + 23 17u = -27 + 23 Combine like terms: -27 + 23 = -4 17u = -4 Divide each side by '17'. u = -0.2352941176 Simplifying u = -0.2352941176
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