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Simplifying 0.5(15 + b) * 10.8 = 243 Reorder the terms for easier multiplication: 0.5 * 10.8(15 + b) = 243 Multiply 0.5 * 10.8 5.4(15 + b) = 243 (15 * 5.4 + b * 5.4) = 243 (81 + 5.4b) = 243 Solving 81 + 5.4b = 243 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 + 5.4b = 243 + -81 Combine like terms: 81 + -81 = 0 0 + 5.4b = 243 + -81 5.4b = 243 + -81 Combine like terms: 243 + -81 = 162 5.4b = 162 Divide each side by '5.4'. b = 30 Simplifying b = 30
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