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Simplifying 0.1(5b + 85) = 0.5 + 8.6 Reorder the terms: 0.1(85 + 5b) = 0.5 + 8.6 (85 * 0.1 + 5b * 0.1) = 0.5 + 8.6 (8.5 + 0.5b) = 0.5 + 8.6 Combine like terms: 0.5 + 8.6 = 9.1 8.5 + 0.5b = 9.1 Solving 8.5 + 0.5b = 9.1 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8.5' to each side of the equation. 8.5 + -8.5 + 0.5b = 9.1 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + 0.5b = 9.1 + -8.5 0.5b = 9.1 + -8.5 Combine like terms: 9.1 + -8.5 = 0.6 0.5b = 0.6 Divide each side by '0.5'. b = 1.2 Simplifying b = 1.2
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