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Simplifying -6(-4u + 3) + -9u = 5(u + -5) + -5 Reorder the terms: -6(3 + -4u) + -9u = 5(u + -5) + -5 (3 * -6 + -4u * -6) + -9u = 5(u + -5) + -5 (-18 + 24u) + -9u = 5(u + -5) + -5 Combine like terms: 24u + -9u = 15u -18 + 15u = 5(u + -5) + -5 Reorder the terms: -18 + 15u = 5(-5 + u) + -5 -18 + 15u = (-5 * 5 + u * 5) + -5 -18 + 15u = (-25 + 5u) + -5 Reorder the terms: -18 + 15u = -25 + -5 + 5u Combine like terms: -25 + -5 = -30 -18 + 15u = -30 + 5u Solving -18 + 15u = -30 + 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. -18 + 15u + -5u = -30 + 5u + -5u Combine like terms: 15u + -5u = 10u -18 + 10u = -30 + 5u + -5u Combine like terms: 5u + -5u = 0 -18 + 10u = -30 + 0 -18 + 10u = -30 Add '18' to each side of the equation. -18 + 18 + 10u = -30 + 18 Combine like terms: -18 + 18 = 0 0 + 10u = -30 + 18 10u = -30 + 18 Combine like terms: -30 + 18 = -12 10u = -12 Divide each side by '10'. u = -1.2 Simplifying u = -1.2
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