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Simplifying 0.10(b + 5.00) = 2.00 Reorder the terms: 0.10(5.00 + b) = 2.00 (5.00 * 0.10 + b * 0.10) = 2.00 (0.5 + 0.10b) = 2.00 Solving 0.5 + 0.10b = 2.00 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.10b = 2.00 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.10b = 2.00 + -0.5 0.10b = 2.00 + -0.5 Combine like terms: 2.00 + -0.5 = 1.5 0.10b = 1.5 Divide each side by '0.10'. b = 15 Simplifying b = 15
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