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Simplifying -2(-9u + 3) + -1u = 5(u + -4) + -1 Reorder the terms: -2(3 + -9u) + -1u = 5(u + -4) + -1 (3 * -2 + -9u * -2) + -1u = 5(u + -4) + -1 (-6 + 18u) + -1u = 5(u + -4) + -1 Combine like terms: 18u + -1u = 17u -6 + 17u = 5(u + -4) + -1 Reorder the terms: -6 + 17u = 5(-4 + u) + -1 -6 + 17u = (-4 * 5 + u * 5) + -1 -6 + 17u = (-20 + 5u) + -1 Reorder the terms: -6 + 17u = -20 + -1 + 5u Combine like terms: -20 + -1 = -21 -6 + 17u = -21 + 5u Solving -6 + 17u = -21 + 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. -6 + 17u + -5u = -21 + 5u + -5u Combine like terms: 17u + -5u = 12u -6 + 12u = -21 + 5u + -5u Combine like terms: 5u + -5u = 0 -6 + 12u = -21 + 0 -6 + 12u = -21 Add '6' to each side of the equation. -6 + 6 + 12u = -21 + 6 Combine like terms: -6 + 6 = 0 0 + 12u = -21 + 6 12u = -21 + 6 Combine like terms: -21 + 6 = -15 12u = -15 Divide each side by '12'. u = -1.25 Simplifying u = -1.25
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