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Simplifying 3(u + 6) = -3u + 48 Reorder the terms: 3(6 + u) = -3u + 48 (6 * 3 + u * 3) = -3u + 48 (18 + 3u) = -3u + 48 Reorder the terms: 18 + 3u = 48 + -3u Solving 18 + 3u = 48 + -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. 18 + 3u + 3u = 48 + -3u + 3u Combine like terms: 3u + 3u = 6u 18 + 6u = 48 + -3u + 3u Combine like terms: -3u + 3u = 0 18 + 6u = 48 + 0 18 + 6u = 48 Add '-18' to each side of the equation. 18 + -18 + 6u = 48 + -18 Combine like terms: 18 + -18 = 0 0 + 6u = 48 + -18 6u = 48 + -18 Combine like terms: 48 + -18 = 30 6u = 30 Divide each side by '6'. u = 5 Simplifying u = 5
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