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Simplifying 10b + 3(b + 0.5) = 4.5 Reorder the terms: 10b + 3(0.5 + b) = 4.5 10b + (0.5 * 3 + b * 3) = 4.5 10b + (1.5 + 3b) = 4.5 Reorder the terms: 1.5 + 10b + 3b = 4.5 Combine like terms: 10b + 3b = 13b 1.5 + 13b = 4.5 Solving 1.5 + 13b = 4.5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 13b = 4.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 13b = 4.5 + -1.5 13b = 4.5 + -1.5 Combine like terms: 4.5 + -1.5 = 3 13b = 3 Divide each side by '13'. b = 0.2307692308 Simplifying b = 0.2307692308
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