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Simplifying 27 = 2(u + -4) + 3u Reorder the terms: 27 = 2(-4 + u) + 3u 27 = (-4 * 2 + u * 2) + 3u 27 = (-8 + 2u) + 3u Combine like terms: 2u + 3u = 5u 27 = -8 + 5u Solving 27 = -8 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 27 + -5u = -8 + 5u + -5u Combine like terms: 5u + -5u = 0 27 + -5u = -8 + 0 27 + -5u = -8 Add '-27' to each side of the equation. 27 + -27 + -5u = -8 + -27 Combine like terms: 27 + -27 = 0 0 + -5u = -8 + -27 -5u = -8 + -27 Combine like terms: -8 + -27 = -35 -5u = -35 Divide each side by '-5'. u = 7 Simplifying u = 7
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