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Simplifying 9 + 2(5u + 3) = 13u Reorder the terms: 9 + 2(3 + 5u) = 13u 9 + (3 * 2 + 5u * 2) = 13u 9 + (6 + 10u) = 13u Combine like terms: 9 + 6 = 15 15 + 10u = 13u Solving 15 + 10u = 13u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-13u' to each side of the equation. 15 + 10u + -13u = 13u + -13u Combine like terms: 10u + -13u = -3u 15 + -3u = 13u + -13u Combine like terms: 13u + -13u = 0 15 + -3u = 0 Add '-15' to each side of the equation. 15 + -15 + -3u = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3u = 0 + -15 -3u = 0 + -15 Combine like terms: 0 + -15 = -15 -3u = -15 Divide each side by '-3'. u = 5 Simplifying u = 5
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