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Simplifying 3(u + 10) = -10(u + 3) Reorder the terms: 3(10 + u) = -10(u + 3) (10 * 3 + u * 3) = -10(u + 3) (30 + 3u) = -10(u + 3) Reorder the terms: 30 + 3u = -10(3 + u) 30 + 3u = (3 * -10 + u * -10) 30 + 3u = (-30 + -10u) Solving 30 + 3u = -30 + -10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '10u' to each side of the equation. 30 + 3u + 10u = -30 + -10u + 10u Combine like terms: 3u + 10u = 13u 30 + 13u = -30 + -10u + 10u Combine like terms: -10u + 10u = 0 30 + 13u = -30 + 0 30 + 13u = -30 Add '-30' to each side of the equation. 30 + -30 + 13u = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 13u = -30 + -30 13u = -30 + -30 Combine like terms: -30 + -30 = -60 13u = -60 Divide each side by '13'. u = -4.615384615 Simplifying u = -4.615384615
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