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Simplifying 3(u + 4) = 9u + -6 Reorder the terms: 3(4 + u) = 9u + -6 (4 * 3 + u * 3) = 9u + -6 (12 + 3u) = 9u + -6 Reorder the terms: 12 + 3u = -6 + 9u Solving 12 + 3u = -6 + 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. 12 + 3u + -9u = -6 + 9u + -9u Combine like terms: 3u + -9u = -6u 12 + -6u = -6 + 9u + -9u Combine like terms: 9u + -9u = 0 12 + -6u = -6 + 0 12 + -6u = -6 Add '-12' to each side of the equation. 12 + -12 + -6u = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6u = -6 + -12 -6u = -6 + -12 Combine like terms: -6 + -12 = -18 -6u = -18 Divide each side by '-6'. u = 3 Simplifying u = 3
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