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Simplifying 3(u + 5) = 8u + 40 Reorder the terms: 3(5 + u) = 8u + 40 (5 * 3 + u * 3) = 8u + 40 (15 + 3u) = 8u + 40 Reorder the terms: 15 + 3u = 40 + 8u Solving 15 + 3u = 40 + 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. 15 + 3u + -8u = 40 + 8u + -8u Combine like terms: 3u + -8u = -5u 15 + -5u = 40 + 8u + -8u Combine like terms: 8u + -8u = 0 15 + -5u = 40 + 0 15 + -5u = 40 Add '-15' to each side of the equation. 15 + -15 + -5u = 40 + -15 Combine like terms: 15 + -15 = 0 0 + -5u = 40 + -15 -5u = 40 + -15 Combine like terms: 40 + -15 = 25 -5u = 25 Divide each side by '-5'. u = -5 Simplifying u = -5
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