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Simplifying 0.5b + -4 = 0.2b + 2 Reorder the terms: -4 + 0.5b = 0.2b + 2 Reorder the terms: -4 + 0.5b = 2 + 0.2b Solving -4 + 0.5b = 2 + 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. -4 + 0.5b + -0.2b = 2 + 0.2b + -0.2b Combine like terms: 0.5b + -0.2b = 0.3b -4 + 0.3b = 2 + 0.2b + -0.2b Combine like terms: 0.2b + -0.2b = 0.0 -4 + 0.3b = 2 + 0.0 -4 + 0.3b = 2 Add '4' to each side of the equation. -4 + 4 + 0.3b = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 0.3b = 2 + 4 0.3b = 2 + 4 Combine like terms: 2 + 4 = 6 0.3b = 6 Divide each side by '0.3'. b = 20 Simplifying b = 20
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