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Simplifying 3(4b + 1) = 3b + -8 Reorder the terms: 3(1 + 4b) = 3b + -8 (1 * 3 + 4b * 3) = 3b + -8 (3 + 12b) = 3b + -8 Reorder the terms: 3 + 12b = -8 + 3b Solving 3 + 12b = -8 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 3 + 12b + -3b = -8 + 3b + -3b Combine like terms: 12b + -3b = 9b 3 + 9b = -8 + 3b + -3b Combine like terms: 3b + -3b = 0 3 + 9b = -8 + 0 3 + 9b = -8 Add '-3' to each side of the equation. 3 + -3 + 9b = -8 + -3 Combine like terms: 3 + -3 = 0 0 + 9b = -8 + -3 9b = -8 + -3 Combine like terms: -8 + -3 = -11 9b = -11 Divide each side by '9'. b = -1.222222222 Simplifying b = -1.222222222
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