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Simplifying 3 = 5(u + 3) + -8u Reorder the terms: 3 = 5(3 + u) + -8u 3 = (3 * 5 + u * 5) + -8u 3 = (15 + 5u) + -8u Combine like terms: 5u + -8u = -3u 3 = 15 + -3u Solving 3 = 15 + -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. 3 + 3u = 15 + -3u + 3u Combine like terms: -3u + 3u = 0 3 + 3u = 15 + 0 3 + 3u = 15 Add '-3' to each side of the equation. 3 + -3 + 3u = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 3u = 15 + -3 3u = 15 + -3 Combine like terms: 15 + -3 = 12 3u = 12 Divide each side by '3'. u = 4 Simplifying u = 4
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