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Simplifying 4(b + 2) = 2(b + 9) Reorder the terms: 4(2 + b) = 2(b + 9) (2 * 4 + b * 4) = 2(b + 9) (8 + 4b) = 2(b + 9) Reorder the terms: 8 + 4b = 2(9 + b) 8 + 4b = (9 * 2 + b * 2) 8 + 4b = (18 + 2b) Solving 8 + 4b = 18 + 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. 8 + 4b + -2b = 18 + 2b + -2b Combine like terms: 4b + -2b = 2b 8 + 2b = 18 + 2b + -2b Combine like terms: 2b + -2b = 0 8 + 2b = 18 + 0 8 + 2b = 18 Add '-8' to each side of the equation. 8 + -8 + 2b = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 2b = 18 + -8 2b = 18 + -8 Combine like terms: 18 + -8 = 10 2b = 10 Divide each side by '2'. b = 5 Simplifying b = 5
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