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Simplifying 4(b + 6) = 2(b + 5 + 2) Reorder the terms: 4(6 + b) = 2(b + 5 + 2) (6 * 4 + b * 4) = 2(b + 5 + 2) (24 + 4b) = 2(b + 5 + 2) Reorder the terms: 24 + 4b = 2(5 + 2 + b) Combine like terms: 5 + 2 = 7 24 + 4b = 2(7 + b) 24 + 4b = (7 * 2 + b * 2) 24 + 4b = (14 + 2b) Solving 24 + 4b = 14 + 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. 24 + 4b + -2b = 14 + 2b + -2b Combine like terms: 4b + -2b = 2b 24 + 2b = 14 + 2b + -2b Combine like terms: 2b + -2b = 0 24 + 2b = 14 + 0 24 + 2b = 14 Add '-24' to each side of the equation. 24 + -24 + 2b = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 2b = 14 + -24 2b = 14 + -24 Combine like terms: 14 + -24 = -10 2b = -10 Divide each side by '2'. b = -5 Simplifying b = -5
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