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Simplifying -3(-5u + 9) + -4u = 3(u + -2) + -9 Reorder the terms: -3(9 + -5u) + -4u = 3(u + -2) + -9 (9 * -3 + -5u * -3) + -4u = 3(u + -2) + -9 (-27 + 15u) + -4u = 3(u + -2) + -9 Combine like terms: 15u + -4u = 11u -27 + 11u = 3(u + -2) + -9 Reorder the terms: -27 + 11u = 3(-2 + u) + -9 -27 + 11u = (-2 * 3 + u * 3) + -9 -27 + 11u = (-6 + 3u) + -9 Reorder the terms: -27 + 11u = -6 + -9 + 3u Combine like terms: -6 + -9 = -15 -27 + 11u = -15 + 3u Solving -27 + 11u = -15 + 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. -27 + 11u + -3u = -15 + 3u + -3u Combine like terms: 11u + -3u = 8u -27 + 8u = -15 + 3u + -3u Combine like terms: 3u + -3u = 0 -27 + 8u = -15 + 0 -27 + 8u = -15 Add '27' to each side of the equation. -27 + 27 + 8u = -15 + 27 Combine like terms: -27 + 27 = 0 0 + 8u = -15 + 27 8u = -15 + 27 Combine like terms: -15 + 27 = 12 8u = 12 Divide each side by '8'. u = 1.5 Simplifying u = 1.5
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