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Simplifying 0.75(b + 8) = 15 Reorder the terms: 0.75(8 + b) = 15 (8 * 0.75 + b * 0.75) = 15 (6 + 0.75b) = 15 Solving 6 + 0.75b = 15 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.75b = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 0.75b = 15 + -6 0.75b = 15 + -6 Combine like terms: 15 + -6 = 9 0.75b = 9 Divide each side by '0.75'. b = 12 Simplifying b = 12
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