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Simplifying 0.5b + -0.02 = 0.1b Reorder the terms: -0.02 + 0.5b = 0.1b Solving -0.02 + 0.5b = 0.1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.1b' to each side of the equation. -0.02 + 0.5b + -0.1b = 0.1b + -0.1b Combine like terms: 0.5b + -0.1b = 0.4b -0.02 + 0.4b = 0.1b + -0.1b Combine like terms: 0.1b + -0.1b = 0.0 -0.02 + 0.4b = 0.0 Add '0.02' to each side of the equation. -0.02 + 0.02 + 0.4b = 0.0 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + 0.4b = 0.0 + 0.02 0.4b = 0.0 + 0.02 Combine like terms: 0.0 + 0.02 = 0.02 0.4b = 0.02 Divide each side by '0.4'. b = 0.05 Simplifying b = 0.05
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