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Simplifying 1.5(b + 20) = 0.5(3n + 60) Reorder the terms: 1.5(20 + b) = 0.5(3n + 60) (20 * 1.5 + b * 1.5) = 0.5(3n + 60) (30 + 1.5b) = 0.5(3n + 60) Reorder the terms: 30 + 1.5b = 0.5(60 + 3n) 30 + 1.5b = (60 * 0.5 + 3n * 0.5) 30 + 1.5b = (30 + 1.5n) Add '-30' to each side of the equation. 30 + -30 + 1.5b = 30 + -30 + 1.5n Combine like terms: 30 + -30 = 0 0 + 1.5b = 30 + -30 + 1.5n 1.5b = 30 + -30 + 1.5n Combine like terms: 30 + -30 = 0 1.5b = 0 + 1.5n 1.5b = 1.5n Solving 1.5b = 1.5n Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '1.5'. b = n Simplifying b = n
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