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Simplifying 5(u + 9) = 8u + 36 Reorder the terms: 5(9 + u) = 8u + 36 (9 * 5 + u * 5) = 8u + 36 (45 + 5u) = 8u + 36 Reorder the terms: 45 + 5u = 36 + 8u Solving 45 + 5u = 36 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 45 + 5u + -8u = 36 + 8u + -8u Combine like terms: 5u + -8u = -3u 45 + -3u = 36 + 8u + -8u Combine like terms: 8u + -8u = 0 45 + -3u = 36 + 0 45 + -3u = 36 Add '-45' to each side of the equation. 45 + -45 + -3u = 36 + -45 Combine like terms: 45 + -45 = 0 0 + -3u = 36 + -45 -3u = 36 + -45 Combine like terms: 36 + -45 = -9 -3u = -9 Divide each side by '-3'. u = 3 Simplifying u = 3
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