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Simplifying 25(b + 4) = 20b + 125 Reorder the terms: 25(4 + b) = 20b + 125 (4 * 25 + b * 25) = 20b + 125 (100 + 25b) = 20b + 125 Reorder the terms: 100 + 25b = 125 + 20b Solving 100 + 25b = 125 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. 100 + 25b + -20b = 125 + 20b + -20b Combine like terms: 25b + -20b = 5b 100 + 5b = 125 + 20b + -20b Combine like terms: 20b + -20b = 0 100 + 5b = 125 + 0 100 + 5b = 125 Add '-100' to each side of the equation. 100 + -100 + 5b = 125 + -100 Combine like terms: 100 + -100 = 0 0 + 5b = 125 + -100 5b = 125 + -100 Combine like terms: 125 + -100 = 25 5b = 25 Divide each side by '5'. b = 5 Simplifying b = 5
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