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Simplifying 0.75(b + 8) = 1 Reorder the terms: 0.75(8 + b) = 1 (8 * 0.75 + b * 0.75) = 1 (6 + 0.75b) = 1 Solving 6 + 0.75b = 1 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 = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 0.75b = 1 + -6 0.75b = 1 + -6 Combine like terms: 1 + -6 = -5 0.75b = -5 Divide each side by '0.75'. b = -6.666666667 Simplifying b = -6.666666667
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