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Simplifying 9(5b + 5) = 3(9b + -3) Reorder the terms: 9(5 + 5b) = 3(9b + -3) (5 * 9 + 5b * 9) = 3(9b + -3) (45 + 45b) = 3(9b + -3) Reorder the terms: 45 + 45b = 3(-3 + 9b) 45 + 45b = (-3 * 3 + 9b * 3) 45 + 45b = (-9 + 27b) Solving 45 + 45b = -9 + 27b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-27b' to each side of the equation. 45 + 45b + -27b = -9 + 27b + -27b Combine like terms: 45b + -27b = 18b 45 + 18b = -9 + 27b + -27b Combine like terms: 27b + -27b = 0 45 + 18b = -9 + 0 45 + 18b = -9 Add '-45' to each side of the equation. 45 + -45 + 18b = -9 + -45 Combine like terms: 45 + -45 = 0 0 + 18b = -9 + -45 18b = -9 + -45 Combine like terms: -9 + -45 = -54 18b = -54 Divide each side by '18'. b = -3 Simplifying b = -3
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