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Simplifying -5(-5u + 4) + -2u = 5(u + -2) + -1 Reorder the terms: -5(4 + -5u) + -2u = 5(u + -2) + -1 (4 * -5 + -5u * -5) + -2u = 5(u + -2) + -1 (-20 + 25u) + -2u = 5(u + -2) + -1 Combine like terms: 25u + -2u = 23u -20 + 23u = 5(u + -2) + -1 Reorder the terms: -20 + 23u = 5(-2 + u) + -1 -20 + 23u = (-2 * 5 + u * 5) + -1 -20 + 23u = (-10 + 5u) + -1 Reorder the terms: -20 + 23u = -10 + -1 + 5u Combine like terms: -10 + -1 = -11 -20 + 23u = -11 + 5u Solving -20 + 23u = -11 + 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. -20 + 23u + -5u = -11 + 5u + -5u Combine like terms: 23u + -5u = 18u -20 + 18u = -11 + 5u + -5u Combine like terms: 5u + -5u = 0 -20 + 18u = -11 + 0 -20 + 18u = -11 Add '20' to each side of the equation. -20 + 20 + 18u = -11 + 20 Combine like terms: -20 + 20 = 0 0 + 18u = -11 + 20 18u = -11 + 20 Combine like terms: -11 + 20 = 9 18u = 9 Divide each side by '18'. u = 0.5 Simplifying u = 0.5
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