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Simplifying -5(-3u + 3) + -2u = 5(u + -4) + -9 Reorder the terms: -5(3 + -3u) + -2u = 5(u + -4) + -9 (3 * -5 + -3u * -5) + -2u = 5(u + -4) + -9 (-15 + 15u) + -2u = 5(u + -4) + -9 Combine like terms: 15u + -2u = 13u -15 + 13u = 5(u + -4) + -9 Reorder the terms: -15 + 13u = 5(-4 + u) + -9 -15 + 13u = (-4 * 5 + u * 5) + -9 -15 + 13u = (-20 + 5u) + -9 Reorder the terms: -15 + 13u = -20 + -9 + 5u Combine like terms: -20 + -9 = -29 -15 + 13u = -29 + 5u Solving -15 + 13u = -29 + 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. -15 + 13u + -5u = -29 + 5u + -5u Combine like terms: 13u + -5u = 8u -15 + 8u = -29 + 5u + -5u Combine like terms: 5u + -5u = 0 -15 + 8u = -29 + 0 -15 + 8u = -29 Add '15' to each side of the equation. -15 + 15 + 8u = -29 + 15 Combine like terms: -15 + 15 = 0 0 + 8u = -29 + 15 8u = -29 + 15 Combine like terms: -29 + 15 = -14 8u = -14 Divide each side by '8'. u = -1.75 Simplifying u = -1.75
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