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Simplifying 0.2b + 7 = 0.5b + 19 Reorder the terms: 7 + 0.2b = 0.5b + 19 Reorder the terms: 7 + 0.2b = 19 + 0.5b Solving 7 + 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. 7 + 0.2b + -0.5b = 19 + 0.5b + -0.5b Combine like terms: 0.2b + -0.5b = -0.3b 7 + -0.3b = 19 + 0.5b + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 7 + -0.3b = 19 + 0.0 7 + -0.3b = 19 Add '-7' to each side of the equation. 7 + -7 + -0.3b = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -0.3b = 19 + -7 -0.3b = 19 + -7 Combine like terms: 19 + -7 = 12 -0.3b = 12 Divide each side by '-0.3'. b = -40 Simplifying b = -40
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