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Simplifying 4(2u + 9) = 5u + 18 Reorder the terms: 4(9 + 2u) = 5u + 18 (9 * 4 + 2u * 4) = 5u + 18 (36 + 8u) = 5u + 18 Reorder the terms: 36 + 8u = 18 + 5u Solving 36 + 8u = 18 + 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. 36 + 8u + -5u = 18 + 5u + -5u Combine like terms: 8u + -5u = 3u 36 + 3u = 18 + 5u + -5u Combine like terms: 5u + -5u = 0 36 + 3u = 18 + 0 36 + 3u = 18 Add '-36' to each side of the equation. 36 + -36 + 3u = 18 + -36 Combine like terms: 36 + -36 = 0 0 + 3u = 18 + -36 3u = 18 + -36 Combine like terms: 18 + -36 = -18 3u = -18 Divide each side by '3'. u = -6 Simplifying u = -6
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