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Simplifying 1.5(b + 6) * 9 = 24 Reorder the terms: 1.5(6 + b) * 9 = 24 Reorder the terms for easier multiplication: 1.5 * 9(6 + b) = 24 Multiply 1.5 * 9 13.5(6 + b) = 24 (6 * 13.5 + b * 13.5) = 24 (81 + 13.5b) = 24 Solving 81 + 13.5b = 24 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 13.5b = 24 + -81 Combine like terms: 81 + -81 = 0 0 + 13.5b = 24 + -81 13.5b = 24 + -81 Combine like terms: 24 + -81 = -57 13.5b = -57 Divide each side by '13.5'. b = -4.222222222 Simplifying b = -4.222222222
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