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Simplifying b + 4 = 2(2b + 1) Reorder the terms: 4 + b = 2(2b + 1) Reorder the terms: 4 + b = 2(1 + 2b) 4 + b = (1 * 2 + 2b * 2) 4 + b = (2 + 4b) Solving 4 + b = 2 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 4 + b + -4b = 2 + 4b + -4b Combine like terms: b + -4b = -3b 4 + -3b = 2 + 4b + -4b Combine like terms: 4b + -4b = 0 4 + -3b = 2 + 0 4 + -3b = 2 Add '-4' to each side of the equation. 4 + -4 + -3b = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -3b = 2 + -4 -3b = 2 + -4 Combine like terms: 2 + -4 = -2 -3b = -2 Divide each side by '-3'. b = 0.6666666667 Simplifying b = 0.6666666667
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