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Simplifying -3(-5u + 7) + -2u = 3(u + -6) + -8 Reorder the terms: -3(7 + -5u) + -2u = 3(u + -6) + -8 (7 * -3 + -5u * -3) + -2u = 3(u + -6) + -8 (-21 + 15u) + -2u = 3(u + -6) + -8 Combine like terms: 15u + -2u = 13u -21 + 13u = 3(u + -6) + -8 Reorder the terms: -21 + 13u = 3(-6 + u) + -8 -21 + 13u = (-6 * 3 + u * 3) + -8 -21 + 13u = (-18 + 3u) + -8 Reorder the terms: -21 + 13u = -18 + -8 + 3u Combine like terms: -18 + -8 = -26 -21 + 13u = -26 + 3u Solving -21 + 13u = -26 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -21 + 13u + -3u = -26 + 3u + -3u Combine like terms: 13u + -3u = 10u -21 + 10u = -26 + 3u + -3u Combine like terms: 3u + -3u = 0 -21 + 10u = -26 + 0 -21 + 10u = -26 Add '21' to each side of the equation. -21 + 21 + 10u = -26 + 21 Combine like terms: -21 + 21 = 0 0 + 10u = -26 + 21 10u = -26 + 21 Combine like terms: -26 + 21 = -5 10u = -5 Divide each side by '10'. u = -0.5 Simplifying u = -0.5
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