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Simplifying 10(u + 1) = 3(u + -3) Reorder the terms: 10(1 + u) = 3(u + -3) (1 * 10 + u * 10) = 3(u + -3) (10 + 10u) = 3(u + -3) Reorder the terms: 10 + 10u = 3(-3 + u) 10 + 10u = (-3 * 3 + u * 3) 10 + 10u = (-9 + 3u) Solving 10 + 10u = -9 + 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. 10 + 10u + -3u = -9 + 3u + -3u Combine like terms: 10u + -3u = 7u 10 + 7u = -9 + 3u + -3u Combine like terms: 3u + -3u = 0 10 + 7u = -9 + 0 10 + 7u = -9 Add '-10' to each side of the equation. 10 + -10 + 7u = -9 + -10 Combine like terms: 10 + -10 = 0 0 + 7u = -9 + -10 7u = -9 + -10 Combine like terms: -9 + -10 = -19 7u = -19 Divide each side by '7'. u = -2.714285714 Simplifying u = -2.714285714
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