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Simplifying 0.10(b + 200.00) = 55.00 Reorder the terms: 0.10(200.00 + b) = 55.00 (200.00 * 0.10 + b * 0.10) = 55.00 (20 + 0.10b) = 55.00 Solving 20 + 0.10b = 55.00 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 0.10b = 55.00 + -20 Combine like terms: 20 + -20 = 0 0 + 0.10b = 55.00 + -20 0.10b = 55.00 + -20 Combine like terms: 55.00 + -20 = 35 0.10b = 35 Divide each side by '0.10'. b = 350 Simplifying b = 350
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