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Simplifying 3u + 2(u + 2) = 4(4 + u) + 5u Reorder the terms: 3u + 2(2 + u) = 4(4 + u) + 5u 3u + (2 * 2 + u * 2) = 4(4 + u) + 5u 3u + (4 + 2u) = 4(4 + u) + 5u Reorder the terms: 4 + 3u + 2u = 4(4 + u) + 5u Combine like terms: 3u + 2u = 5u 4 + 5u = 4(4 + u) + 5u 4 + 5u = (4 * 4 + u * 4) + 5u 4 + 5u = (16 + 4u) + 5u Combine like terms: 4u + 5u = 9u 4 + 5u = 16 + 9u Solving 4 + 5u = 16 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 4 + 5u + -9u = 16 + 9u + -9u Combine like terms: 5u + -9u = -4u 4 + -4u = 16 + 9u + -9u Combine like terms: 9u + -9u = 0 4 + -4u = 16 + 0 4 + -4u = 16 Add '-4' to each side of the equation. 4 + -4 + -4u = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -4u = 16 + -4 -4u = 16 + -4 Combine like terms: 16 + -4 = 12 -4u = 12 Divide each side by '-4'. u = -3 Simplifying u = -3
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