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Simplifying 3u + 14 = 8(u + 8) Reorder the terms: 14 + 3u = 8(u + 8) Reorder the terms: 14 + 3u = 8(8 + u) 14 + 3u = (8 * 8 + u * 8) 14 + 3u = (64 + 8u) Solving 14 + 3u = 64 + 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. 14 + 3u + -8u = 64 + 8u + -8u Combine like terms: 3u + -8u = -5u 14 + -5u = 64 + 8u + -8u Combine like terms: 8u + -8u = 0 14 + -5u = 64 + 0 14 + -5u = 64 Add '-14' to each side of the equation. 14 + -14 + -5u = 64 + -14 Combine like terms: 14 + -14 = 0 0 + -5u = 64 + -14 -5u = 64 + -14 Combine like terms: 64 + -14 = 50 -5u = 50 Divide each side by '-5'. u = -10 Simplifying u = -10
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