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Simplifying 0.2b + 9 = 0.5b + 15 Reorder the terms: 9 + 0.2b = 0.5b + 15 Reorder the terms: 9 + 0.2b = 15 + 0.5b Solving 9 + 0.2b = 15 + 0.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.5b' to each side of the equation. 9 + 0.2b + -0.5b = 15 + 0.5b + -0.5b Combine like terms: 0.2b + -0.5b = -0.3b 9 + -0.3b = 15 + 0.5b + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 9 + -0.3b = 15 + 0.0 9 + -0.3b = 15 Add '-9' to each side of the equation. 9 + -9 + -0.3b = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -0.3b = 15 + -9 -0.3b = 15 + -9 Combine like terms: 15 + -9 = 6 -0.3b = 6 Divide each side by '-0.3'. b = -20 Simplifying b = -20
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