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Simplifying (4b + 1)(8) = 0 Reorder the terms: (1 + 4b)(8) = 0 Reorder the terms for easier multiplication: 8(1 + 4b) = 0 (1 * 8 + 4b * 8) = 0 (8 + 32b) = 0 Solving 8 + 32b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 32b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 32b = 0 + -8 32b = 0 + -8 Combine like terms: 0 + -8 = -8 32b = -8 Divide each side by '32'. b = -0.25 Simplifying b = -0.25
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