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Simplifying 30 = 2u + 3(u + 5) Reorder the terms: 30 = 2u + 3(5 + u) 30 = 2u + (5 * 3 + u * 3) 30 = 2u + (15 + 3u) Reorder the terms: 30 = 15 + 2u + 3u Combine like terms: 2u + 3u = 5u 30 = 15 + 5u Solving 30 = 15 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 30 + -5u = 15 + 5u + -5u Combine like terms: 5u + -5u = 0 30 + -5u = 15 + 0 30 + -5u = 15 Add '-30' to each side of the equation. 30 + -30 + -5u = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -5u = 15 + -30 -5u = 15 + -30 Combine like terms: 15 + -30 = -15 -5u = -15 Divide each side by '-5'. u = 3 Simplifying u = 3
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