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Simplifying -3(-5u + 9) + -5u = 2(u + -8) + -1 Reorder the terms: -3(9 + -5u) + -5u = 2(u + -8) + -1 (9 * -3 + -5u * -3) + -5u = 2(u + -8) + -1 (-27 + 15u) + -5u = 2(u + -8) + -1 Combine like terms: 15u + -5u = 10u -27 + 10u = 2(u + -8) + -1 Reorder the terms: -27 + 10u = 2(-8 + u) + -1 -27 + 10u = (-8 * 2 + u * 2) + -1 -27 + 10u = (-16 + 2u) + -1 Reorder the terms: -27 + 10u = -16 + -1 + 2u Combine like terms: -16 + -1 = -17 -27 + 10u = -17 + 2u Solving -27 + 10u = -17 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -27 + 10u + -2u = -17 + 2u + -2u Combine like terms: 10u + -2u = 8u -27 + 8u = -17 + 2u + -2u Combine like terms: 2u + -2u = 0 -27 + 8u = -17 + 0 -27 + 8u = -17 Add '27' to each side of the equation. -27 + 27 + 8u = -17 + 27 Combine like terms: -27 + 27 = 0 0 + 8u = -17 + 27 8u = -17 + 27 Combine like terms: -17 + 27 = 10 8u = 10 Divide each side by '8'. u = 1.25 Simplifying u = 1.25
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