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Simplifying 2(2b + 1) = 2b Reorder the terms: 2(1 + 2b) = 2b (1 * 2 + 2b * 2) = 2b (2 + 4b) = 2b Solving 2 + 4b = 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. 2 + 4b + -2b = 2b + -2b Combine like terms: 4b + -2b = 2b 2 + 2b = 2b + -2b Combine like terms: 2b + -2b = 0 2 + 2b = 0 Add '-2' to each side of the equation. 2 + -2 + 2b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2b = 0 + -2 2b = 0 + -2 Combine like terms: 0 + -2 = -2 2b = -2 Divide each side by '2'. b = -1 Simplifying b = -1
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