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Simplifying 0.2b + 9 = 0.5b + 12 Reorder the terms: 9 + 0.2b = 0.5b + 12 Reorder the terms: 9 + 0.2b = 12 + 0.5b Solving 9 + 0.2b = 12 + 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 = 12 + 0.5b + -0.5b Combine like terms: 0.2b + -0.5b = -0.3b 9 + -0.3b = 12 + 0.5b + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 9 + -0.3b = 12 + 0.0 9 + -0.3b = 12 Add '-9' to each side of the equation. 9 + -9 + -0.3b = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -0.3b = 12 + -9 -0.3b = 12 + -9 Combine like terms: 12 + -9 = 3 -0.3b = 3 Divide each side by '-0.3'. b = -10 Simplifying b = -10
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