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Simplifying 5u + 2 = 8(u + 1) Reorder the terms: 2 + 5u = 8(u + 1) Reorder the terms: 2 + 5u = 8(1 + u) 2 + 5u = (1 * 8 + u * 8) 2 + 5u = (8 + 8u) Solving 2 + 5u = 8 + 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. 2 + 5u + -8u = 8 + 8u + -8u Combine like terms: 5u + -8u = -3u 2 + -3u = 8 + 8u + -8u Combine like terms: 8u + -8u = 0 2 + -3u = 8 + 0 2 + -3u = 8 Add '-2' to each side of the equation. 2 + -2 + -3u = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -3u = 8 + -2 -3u = 8 + -2 Combine like terms: 8 + -2 = 6 -3u = 6 Divide each side by '-3'. u = -2 Simplifying u = -2
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