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Simplifying 0.12 = 0.05 + b(0.10 + -0.05) Combine like terms: 0.10 + -0.05 = 0.05 0.12 = 0.05 + b(0.05) Reorder the terms for easier multiplication: 0.12 = 0.05 + 0.05b Solving 0.12 = 0.05 + 0.05b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.05b' to each side of the equation. 0.12 + -0.05b = 0.05 + 0.05b + -0.05b Combine like terms: 0.05b + -0.05b = 0.00 0.12 + -0.05b = 0.05 + 0.00 0.12 + -0.05b = 0.05 Add '-0.12' to each side of the equation. 0.12 + -0.12 + -0.05b = 0.05 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + -0.05b = 0.05 + -0.12 -0.05b = 0.05 + -0.12 Combine like terms: 0.05 + -0.12 = -0.07 -0.05b = -0.07 Divide each side by '-0.05'. b = 1.4 Simplifying b = 1.4
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