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Simplifying 5(5b + 4) + 2b = 182 Reorder the terms: 5(4 + 5b) + 2b = 182 (4 * 5 + 5b * 5) + 2b = 182 (20 + 25b) + 2b = 182 Combine like terms: 25b + 2b = 27b 20 + 27b = 182 Solving 20 + 27b = 182 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 27b = 182 + -20 Combine like terms: 20 + -20 = 0 0 + 27b = 182 + -20 27b = 182 + -20 Combine like terms: 182 + -20 = 162 27b = 162 Divide each side by '27'. b = 6 Simplifying b = 6
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