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Simplifying 3(1 + 10b) = 3(b + 1) (1 * 3 + 10b * 3) = 3(b + 1) (3 + 30b) = 3(b + 1) Reorder the terms: 3 + 30b = 3(1 + b) 3 + 30b = (1 * 3 + b * 3) 3 + 30b = (3 + 3b) Add '-3' to each side of the equation. 3 + -3 + 30b = 3 + -3 + 3b Combine like terms: 3 + -3 = 0 0 + 30b = 3 + -3 + 3b 30b = 3 + -3 + 3b Combine like terms: 3 + -3 = 0 30b = 0 + 3b 30b = 3b Solving 30b = 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 30b + -3b = 3b + -3b Combine like terms: 30b + -3b = 27b 27b = 3b + -3b Combine like terms: 3b + -3b = 0 27b = 0 Divide each side by '27'. b = 0 Simplifying b = 0
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