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Simplifying 0.2b + 4 = 0.5b + 19 Reorder the terms: 4 + 0.2b = 0.5b + 19 Reorder the terms: 4 + 0.2b = 19 + 0.5b Solving 4 + 0.2b = 19 + 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. 4 + 0.2b + -0.5b = 19 + 0.5b + -0.5b Combine like terms: 0.2b + -0.5b = -0.3b 4 + -0.3b = 19 + 0.5b + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 4 + -0.3b = 19 + 0.0 4 + -0.3b = 19 Add '-4' to each side of the equation. 4 + -4 + -0.3b = 19 + -4 Combine like terms: 4 + -4 = 0 0 + -0.3b = 19 + -4 -0.3b = 19 + -4 Combine like terms: 19 + -4 = 15 -0.3b = 15 Divide each side by '-0.3'. b = -50 Simplifying b = -50
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