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Simplifying -4(-3u + 6) + -3u = 5(u + -6) + -4 Reorder the terms: -4(6 + -3u) + -3u = 5(u + -6) + -4 (6 * -4 + -3u * -4) + -3u = 5(u + -6) + -4 (-24 + 12u) + -3u = 5(u + -6) + -4 Combine like terms: 12u + -3u = 9u -24 + 9u = 5(u + -6) + -4 Reorder the terms: -24 + 9u = 5(-6 + u) + -4 -24 + 9u = (-6 * 5 + u * 5) + -4 -24 + 9u = (-30 + 5u) + -4 Reorder the terms: -24 + 9u = -30 + -4 + 5u Combine like terms: -30 + -4 = -34 -24 + 9u = -34 + 5u Solving -24 + 9u = -34 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -24 + 9u + -5u = -34 + 5u + -5u Combine like terms: 9u + -5u = 4u -24 + 4u = -34 + 5u + -5u Combine like terms: 5u + -5u = 0 -24 + 4u = -34 + 0 -24 + 4u = -34 Add '24' to each side of the equation. -24 + 24 + 4u = -34 + 24 Combine like terms: -24 + 24 = 0 0 + 4u = -34 + 24 4u = -34 + 24 Combine like terms: -34 + 24 = -10 4u = -10 Divide each side by '4'. u = -2.5 Simplifying u = -2.5
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