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Simplifying -8 + 9(1 + 4b) = -32 -8 + (1 * 9 + 4b * 9) = -32 -8 + (9 + 36b) = -32 Combine like terms: -8 + 9 = 1 1 + 36b = -32 Solving 1 + 36b = -32 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 36b = -32 + -1 Combine like terms: 1 + -1 = 0 0 + 36b = -32 + -1 36b = -32 + -1 Combine like terms: -32 + -1 = -33 36b = -33 Divide each side by '36'. b = -0.9166666667 Simplifying b = -0.9166666667
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