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Simplifying 8 + 3(1 + 4b) = 24 8 + (1 * 3 + 4b * 3) = 24 8 + (3 + 12b) = 24 Combine like terms: 8 + 3 = 11 11 + 12b = 24 Solving 11 + 12b = 24 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 12b = 24 + -11 Combine like terms: 11 + -11 = 0 0 + 12b = 24 + -11 12b = 24 + -11 Combine like terms: 24 + -11 = 13 12b = 13 Divide each side by '12'. b = 1.083333333 Simplifying b = 1.083333333
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