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Simplifying 3(30 + b * 0.25) = b Reorder the terms for easier multiplication: 3(30 + 0.25b) = b (30 * 3 + 0.25b * 3) = b (90 + 0.75b) = b Solving 90 + 0.75b = b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 90 + 0.75b + -1b = b + -1b Combine like terms: 0.75b + -1b = -0.25b 90 + -0.25b = b + -1b Combine like terms: b + -1b = 0 90 + -0.25b = 0 Add '-90' to each side of the equation. 90 + -90 + -0.25b = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -0.25b = 0 + -90 -0.25b = 0 + -90 Combine like terms: 0 + -90 = -90 -0.25b = -90 Divide each side by '-0.25'. b = 360 Simplifying b = 360
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