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Simplifying 6b + 43 = 2(2b + 1) Reorder the terms: 43 + 6b = 2(2b + 1) Reorder the terms: 43 + 6b = 2(1 + 2b) 43 + 6b = (1 * 2 + 2b * 2) 43 + 6b = (2 + 4b) Solving 43 + 6b = 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. 43 + 6b + -4b = 2 + 4b + -4b Combine like terms: 6b + -4b = 2b 43 + 2b = 2 + 4b + -4b Combine like terms: 4b + -4b = 0 43 + 2b = 2 + 0 43 + 2b = 2 Add '-43' to each side of the equation. 43 + -43 + 2b = 2 + -43 Combine like terms: 43 + -43 = 0 0 + 2b = 2 + -43 2b = 2 + -43 Combine like terms: 2 + -43 = -41 2b = -41 Divide each side by '2'. b = -20.5 Simplifying b = -20.5
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