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Simplifying 3u + 45 = 9(u + 9) Reorder the terms: 45 + 3u = 9(u + 9) Reorder the terms: 45 + 3u = 9(9 + u) 45 + 3u = (9 * 9 + u * 9) 45 + 3u = (81 + 9u) Solving 45 + 3u = 81 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 45 + 3u + -9u = 81 + 9u + -9u Combine like terms: 3u + -9u = -6u 45 + -6u = 81 + 9u + -9u Combine like terms: 9u + -9u = 0 45 + -6u = 81 + 0 45 + -6u = 81 Add '-45' to each side of the equation. 45 + -45 + -6u = 81 + -45 Combine like terms: 45 + -45 = 0 0 + -6u = 81 + -45 -6u = 81 + -45 Combine like terms: 81 + -45 = 36 -6u = 36 Divide each side by '-6'. u = -6 Simplifying u = -6
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