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Simplifying 0.02b + 8 = 0.05b + 14 Reorder the terms: 8 + 0.02b = 0.05b + 14 Reorder the terms: 8 + 0.02b = 14 + 0.05b Solving 8 + 0.02b = 14 + 0.05b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.05b' to each side of the equation. 8 + 0.02b + -0.05b = 14 + 0.05b + -0.05b Combine like terms: 0.02b + -0.05b = -0.03b 8 + -0.03b = 14 + 0.05b + -0.05b Combine like terms: 0.05b + -0.05b = 0.00 8 + -0.03b = 14 + 0.00 8 + -0.03b = 14 Add '-8' to each side of the equation. 8 + -8 + -0.03b = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -0.03b = 14 + -8 -0.03b = 14 + -8 Combine like terms: 14 + -8 = 6 -0.03b = 6 Divide each side by '-0.03'. b = -200 Simplifying b = -200
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