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Simplifying 5(u + 8) = 3u + 22 Reorder the terms: 5(8 + u) = 3u + 22 (8 * 5 + u * 5) = 3u + 22 (40 + 5u) = 3u + 22 Reorder the terms: 40 + 5u = 22 + 3u Solving 40 + 5u = 22 + 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. 40 + 5u + -3u = 22 + 3u + -3u Combine like terms: 5u + -3u = 2u 40 + 2u = 22 + 3u + -3u Combine like terms: 3u + -3u = 0 40 + 2u = 22 + 0 40 + 2u = 22 Add '-40' to each side of the equation. 40 + -40 + 2u = 22 + -40 Combine like terms: 40 + -40 = 0 0 + 2u = 22 + -40 2u = 22 + -40 Combine like terms: 22 + -40 = -18 2u = -18 Divide each side by '2'. u = -9 Simplifying u = -9
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