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Simplifying -0.5b + 11 = 38 + -0.2b Reorder the terms: 11 + -0.5b = 38 + -0.2b Solving 11 + -0.5b = 38 + -0.2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '0.2b' to each side of the equation. 11 + -0.5b + 0.2b = 38 + -0.2b + 0.2b Combine like terms: -0.5b + 0.2b = -0.3b 11 + -0.3b = 38 + -0.2b + 0.2b Combine like terms: -0.2b + 0.2b = 0.0 11 + -0.3b = 38 + 0.0 11 + -0.3b = 38 Add '-11' to each side of the equation. 11 + -11 + -0.3b = 38 + -11 Combine like terms: 11 + -11 = 0 0 + -0.3b = 38 + -11 -0.3b = 38 + -11 Combine like terms: 38 + -11 = 27 -0.3b = 27 Divide each side by '-0.3'. b = -90 Simplifying b = -90
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