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Simplifying -5(-3u + 9) + -6u = 5(u + -6) + -1 Reorder the terms: -5(9 + -3u) + -6u = 5(u + -6) + -1 (9 * -5 + -3u * -5) + -6u = 5(u + -6) + -1 (-45 + 15u) + -6u = 5(u + -6) + -1 Combine like terms: 15u + -6u = 9u -45 + 9u = 5(u + -6) + -1 Reorder the terms: -45 + 9u = 5(-6 + u) + -1 -45 + 9u = (-6 * 5 + u * 5) + -1 -45 + 9u = (-30 + 5u) + -1 Reorder the terms: -45 + 9u = -30 + -1 + 5u Combine like terms: -30 + -1 = -31 -45 + 9u = -31 + 5u Solving -45 + 9u = -31 + 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. -45 + 9u + -5u = -31 + 5u + -5u Combine like terms: 9u + -5u = 4u -45 + 4u = -31 + 5u + -5u Combine like terms: 5u + -5u = 0 -45 + 4u = -31 + 0 -45 + 4u = -31 Add '45' to each side of the equation. -45 + 45 + 4u = -31 + 45 Combine like terms: -45 + 45 = 0 0 + 4u = -31 + 45 4u = -31 + 45 Combine like terms: -31 + 45 = 14 4u = 14 Divide each side by '4'. u = 3.5 Simplifying u = 3.5
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