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Simplifying 4(b + 6) = 2(b + 5) + 3 Reorder the terms: 4(6 + b) = 2(b + 5) + 3 (6 * 4 + b * 4) = 2(b + 5) + 3 (24 + 4b) = 2(b + 5) + 3 Reorder the terms: 24 + 4b = 2(5 + b) + 3 24 + 4b = (5 * 2 + b * 2) + 3 24 + 4b = (10 + 2b) + 3 Reorder the terms: 24 + 4b = 10 + 3 + 2b Combine like terms: 10 + 3 = 13 24 + 4b = 13 + 2b Solving 24 + 4b = 13 + 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 = 13 + 2b + -2b Combine like terms: 4b + -2b = 2b 24 + 2b = 13 + 2b + -2b Combine like terms: 2b + -2b = 0 24 + 2b = 13 + 0 24 + 2b = 13 Add '-24' to each side of the equation. 24 + -24 + 2b = 13 + -24 Combine like terms: 24 + -24 = 0 0 + 2b = 13 + -24 2b = 13 + -24 Combine like terms: 13 + -24 = -11 2b = -11 Divide each side by '2'. b = -5.5 Simplifying b = -5.5
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