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Simplifying 75(b + 9) = 2475 Reorder the terms: 75(9 + b) = 2475 (9 * 75 + b * 75) = 2475 (675 + 75b) = 2475 Solving 675 + 75b = 2475 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-675' to each side of the equation. 675 + -675 + 75b = 2475 + -675 Combine like terms: 675 + -675 = 0 0 + 75b = 2475 + -675 75b = 2475 + -675 Combine like terms: 2475 + -675 = 1800 75b = 1800 Divide each side by '75'. b = 24 Simplifying b = 24
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