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Simplifying -2u + 27 = 3(u + 4) Reorder the terms: 27 + -2u = 3(u + 4) Reorder the terms: 27 + -2u = 3(4 + u) 27 + -2u = (4 * 3 + u * 3) 27 + -2u = (12 + 3u) Solving 27 + -2u = 12 + 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. 27 + -2u + -3u = 12 + 3u + -3u Combine like terms: -2u + -3u = -5u 27 + -5u = 12 + 3u + -3u Combine like terms: 3u + -3u = 0 27 + -5u = 12 + 0 27 + -5u = 12 Add '-27' to each side of the equation. 27 + -27 + -5u = 12 + -27 Combine like terms: 27 + -27 = 0 0 + -5u = 12 + -27 -5u = 12 + -27 Combine like terms: 12 + -27 = -15 -5u = -15 Divide each side by '-5'. u = 3 Simplifying u = 3
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