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Simplifying 0.2b + 7 = 0.5b + 13 Reorder the terms: 7 + 0.2b = 0.5b + 13 Reorder the terms: 7 + 0.2b = 13 + 0.5b Solving 7 + 0.2b = 13 + 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 = 13 + 0.5b + -0.5b Combine like terms: 0.2b + -0.5b = -0.3b 7 + -0.3b = 13 + 0.5b + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 7 + -0.3b = 13 + 0.0 7 + -0.3b = 13 Add '-7' to each side of the equation. 7 + -7 + -0.3b = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -0.3b = 13 + -7 -0.3b = 13 + -7 Combine like terms: 13 + -7 = 6 -0.3b = 6 Divide each side by '-0.3'. b = -20 Simplifying b = -20
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