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Simplifying 9u + 45 = 6(u + 3) Reorder the terms: 45 + 9u = 6(u + 3) Reorder the terms: 45 + 9u = 6(3 + u) 45 + 9u = (3 * 6 + u * 6) 45 + 9u = (18 + 6u) Solving 45 + 9u = 18 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 45 + 9u + -6u = 18 + 6u + -6u Combine like terms: 9u + -6u = 3u 45 + 3u = 18 + 6u + -6u Combine like terms: 6u + -6u = 0 45 + 3u = 18 + 0 45 + 3u = 18 Add '-45' to each side of the equation. 45 + -45 + 3u = 18 + -45 Combine like terms: 45 + -45 = 0 0 + 3u = 18 + -45 3u = 18 + -45 Combine like terms: 18 + -45 = -27 3u = -27 Divide each side by '3'. u = -9 Simplifying u = -9
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