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Simplifying 3(b + 1) = 2b Reorder the terms: 3(1 + b) = 2b (1 * 3 + b * 3) = 2b (3 + 3b) = 2b Solving 3 + 3b = 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. 3 + 3b + -2b = 2b + -2b Combine like terms: 3b + -2b = 1b 3 + 1b = 2b + -2b Combine like terms: 2b + -2b = 0 3 + 1b = 0 Add '-3' to each side of the equation. 3 + -3 + 1b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1b = 0 + -3 1b = 0 + -3 Combine like terms: 0 + -3 = -3 1b = -3 Divide each side by '1'. b = -3 Simplifying b = -3
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