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Simplifying 2(3u + 7) = 5(-2b + 6) Reorder the terms: 2(7 + 3u) = 5(-2b + 6) (7 * 2 + 3u * 2) = 5(-2b + 6) (14 + 6u) = 5(-2b + 6) Reorder the terms: 14 + 6u = 5(6 + -2b) 14 + 6u = (6 * 5 + -2b * 5) 14 + 6u = (30 + -10b) Solving 14 + 6u = 30 + -10b Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6u = 30 + -14 + -10b Combine like terms: 14 + -14 = 0 0 + 6u = 30 + -14 + -10b 6u = 30 + -14 + -10b Combine like terms: 30 + -14 = 16 6u = 16 + -10b Divide each side by '6'. u = 2.666666667 + -1.666666667b Simplifying u = 2.666666667 + -1.666666667b
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