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Simplifying -5(-3u + 5) + -3u = 2(u + -9) + -1 Reorder the terms: -5(5 + -3u) + -3u = 2(u + -9) + -1 (5 * -5 + -3u * -5) + -3u = 2(u + -9) + -1 (-25 + 15u) + -3u = 2(u + -9) + -1 Combine like terms: 15u + -3u = 12u -25 + 12u = 2(u + -9) + -1 Reorder the terms: -25 + 12u = 2(-9 + u) + -1 -25 + 12u = (-9 * 2 + u * 2) + -1 -25 + 12u = (-18 + 2u) + -1 Reorder the terms: -25 + 12u = -18 + -1 + 2u Combine like terms: -18 + -1 = -19 -25 + 12u = -19 + 2u Solving -25 + 12u = -19 + 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. -25 + 12u + -2u = -19 + 2u + -2u Combine like terms: 12u + -2u = 10u -25 + 10u = -19 + 2u + -2u Combine like terms: 2u + -2u = 0 -25 + 10u = -19 + 0 -25 + 10u = -19 Add '25' to each side of the equation. -25 + 25 + 10u = -19 + 25 Combine like terms: -25 + 25 = 0 0 + 10u = -19 + 25 10u = -19 + 25 Combine like terms: -19 + 25 = 6 10u = 6 Divide each side by '10'. u = 0.6 Simplifying u = 0.6
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