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Simplifying 9(3b + 1) = 7(2b + 4) Reorder the terms: 9(1 + 3b) = 7(2b + 4) (1 * 9 + 3b * 9) = 7(2b + 4) (9 + 27b) = 7(2b + 4) Reorder the terms: 9 + 27b = 7(4 + 2b) 9 + 27b = (4 * 7 + 2b * 7) 9 + 27b = (28 + 14b) Solving 9 + 27b = 28 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 9 + 27b + -14b = 28 + 14b + -14b Combine like terms: 27b + -14b = 13b 9 + 13b = 28 + 14b + -14b Combine like terms: 14b + -14b = 0 9 + 13b = 28 + 0 9 + 13b = 28 Add '-9' to each side of the equation. 9 + -9 + 13b = 28 + -9 Combine like terms: 9 + -9 = 0 0 + 13b = 28 + -9 13b = 28 + -9 Combine like terms: 28 + -9 = 19 13b = 19 Divide each side by '13'. b = 1.461538462 Simplifying b = 1.461538462
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