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Simplifying 3(3b + 6) = 7 + 2b Reorder the terms: 3(6 + 3b) = 7 + 2b (6 * 3 + 3b * 3) = 7 + 2b (18 + 9b) = 7 + 2b Solving 18 + 9b = 7 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 18 + 9b + -2b = 7 + 2b + -2b Combine like terms: 9b + -2b = 7b 18 + 7b = 7 + 2b + -2b Combine like terms: 2b + -2b = 0 18 + 7b = 7 + 0 18 + 7b = 7 Add '-18' to each side of the equation. 18 + -18 + 7b = 7 + -18 Combine like terms: 18 + -18 = 0 0 + 7b = 7 + -18 7b = 7 + -18 Combine like terms: 7 + -18 = -11 7b = -11 Divide each side by '7'. b = -1.571428571 Simplifying b = -1.571428571
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