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Simplifying 5(u + 3) + -8u = 27 Reorder the terms: 5(3 + u) + -8u = 27 (3 * 5 + u * 5) + -8u = 27 (15 + 5u) + -8u = 27 Combine like terms: 5u + -8u = -3u 15 + -3u = 27 Solving 15 + -3u = 27 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -3u = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -3u = 27 + -15 -3u = 27 + -15 Combine like terms: 27 + -15 = 12 -3u = 12 Divide each side by '-3'. u = -4 Simplifying u = -4
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