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Simplifying 4(u + 1) + u = 8(u + 1) + 6 Reorder the terms: 4(1 + u) + u = 8(u + 1) + 6 (1 * 4 + u * 4) + u = 8(u + 1) + 6 (4 + 4u) + u = 8(u + 1) + 6 Combine like terms: 4u + u = 5u 4 + 5u = 8(u + 1) + 6 Reorder the terms: 4 + 5u = 8(1 + u) + 6 4 + 5u = (1 * 8 + u * 8) + 6 4 + 5u = (8 + 8u) + 6 Reorder the terms: 4 + 5u = 8 + 6 + 8u Combine like terms: 8 + 6 = 14 4 + 5u = 14 + 8u Solving 4 + 5u = 14 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 4 + 5u + -8u = 14 + 8u + -8u Combine like terms: 5u + -8u = -3u 4 + -3u = 14 + 8u + -8u Combine like terms: 8u + -8u = 0 4 + -3u = 14 + 0 4 + -3u = 14 Add '-4' to each side of the equation. 4 + -4 + -3u = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -3u = 14 + -4 -3u = 14 + -4 Combine like terms: 14 + -4 = 10 -3u = 10 Divide each side by '-3'. u = -3.333333333 Simplifying u = -3.333333333
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