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Simplifying 5(u + -2) = 3u + 8 Reorder the terms: 5(-2 + u) = 3u + 8 (-2 * 5 + u * 5) = 3u + 8 (-10 + 5u) = 3u + 8 Reorder the terms: -10 + 5u = 8 + 3u Solving -10 + 5u = 8 + 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 + 5u + -3u = 8 + 3u + -3u Combine like terms: 5u + -3u = 2u -10 + 2u = 8 + 3u + -3u Combine like terms: 3u + -3u = 0 -10 + 2u = 8 + 0 -10 + 2u = 8 Add '10' to each side of the equation. -10 + 10 + 2u = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 2u = 8 + 10 2u = 8 + 10 Combine like terms: 8 + 10 = 18 2u = 18 Divide each side by '2'. u = 9 Simplifying u = 9
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