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Simplifying 40 + 0.25b = 25 + 0.45b Solving 40 + 0.25b = 25 + 0.45b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.45b' to each side of the equation. 40 + 0.25b + -0.45b = 25 + 0.45b + -0.45b Combine like terms: 0.25b + -0.45b = -0.2b 40 + -0.2b = 25 + 0.45b + -0.45b Combine like terms: 0.45b + -0.45b = 0.00 40 + -0.2b = 25 + 0.00 40 + -0.2b = 25 Add '-40' to each side of the equation. 40 + -40 + -0.2b = 25 + -40 Combine like terms: 40 + -40 = 0 0 + -0.2b = 25 + -40 -0.2b = 25 + -40 Combine like terms: 25 + -40 = -15 -0.2b = -15 Divide each side by '-0.2'. b = 75 Simplifying b = 75
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