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Simplifying 9 = 4(u + 6) + -7u Reorder the terms: 9 = 4(6 + u) + -7u 9 = (6 * 4 + u * 4) + -7u 9 = (24 + 4u) + -7u Combine like terms: 4u + -7u = -3u 9 = 24 + -3u Solving 9 = 24 + -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. 9 + 3u = 24 + -3u + 3u Combine like terms: -3u + 3u = 0 9 + 3u = 24 + 0 9 + 3u = 24 Add '-9' to each side of the equation. 9 + -9 + 3u = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 3u = 24 + -9 3u = 24 + -9 Combine like terms: 24 + -9 = 15 3u = 15 Divide each side by '3'. u = 5 Simplifying u = 5
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