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Simplifying -5(2u + -4) + 9u = 3(u + 6) Reorder the terms: -5(-4 + 2u) + 9u = 3(u + 6) (-4 * -5 + 2u * -5) + 9u = 3(u + 6) (20 + -10u) + 9u = 3(u + 6) Combine like terms: -10u + 9u = -1u 20 + -1u = 3(u + 6) Reorder the terms: 20 + -1u = 3(6 + u) 20 + -1u = (6 * 3 + u * 3) 20 + -1u = (18 + 3u) Solving 20 + -1u = 18 + 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. 20 + -1u + -3u = 18 + 3u + -3u Combine like terms: -1u + -3u = -4u 20 + -4u = 18 + 3u + -3u Combine like terms: 3u + -3u = 0 20 + -4u = 18 + 0 20 + -4u = 18 Add '-20' to each side of the equation. 20 + -20 + -4u = 18 + -20 Combine like terms: 20 + -20 = 0 0 + -4u = 18 + -20 -4u = 18 + -20 Combine like terms: 18 + -20 = -2 -4u = -2 Divide each side by '-4'. u = 0.5 Simplifying u = 0.5
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