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Simplifying (b + 3) * 0.25 = 0.75b + 0.75 Reorder the terms: (3 + b) * 0.25 = 0.75b + 0.75 Reorder the terms for easier multiplication: 0.25(3 + b) = 0.75b + 0.75 (3 * 0.25 + b * 0.25) = 0.75b + 0.75 (0.75 + 0.25b) = 0.75b + 0.75 Reorder the terms: 0.75 + 0.25b = 0.75 + 0.75b Add '-0.75' to each side of the equation. 0.75 + -0.75 + 0.25b = 0.75 + -0.75 + 0.75b Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.25b = 0.75 + -0.75 + 0.75b 0.25b = 0.75 + -0.75 + 0.75b Combine like terms: 0.75 + -0.75 = 0.00 0.25b = 0.00 + 0.75b 0.25b = 0.75b Solving 0.25b = 0.75b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.75b' to each side of the equation. 0.25b + -0.75b = 0.75b + -0.75b Combine like terms: 0.25b + -0.75b = -0.5b -0.5b = 0.75b + -0.75b Combine like terms: 0.75b + -0.75b = 0.00 -0.5b = 0.00 Divide each side by '-0.5'. b = 0.0 Simplifying b = 0.0
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