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Simplifying 3(4b + -1) = -9 + 8b Reorder the terms: 3(-1 + 4b) = -9 + 8b (-1 * 3 + 4b * 3) = -9 + 8b (-3 + 12b) = -9 + 8b Solving -3 + 12b = -9 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -3 + 12b + -8b = -9 + 8b + -8b Combine like terms: 12b + -8b = 4b -3 + 4b = -9 + 8b + -8b Combine like terms: 8b + -8b = 0 -3 + 4b = -9 + 0 -3 + 4b = -9 Add '3' to each side of the equation. -3 + 3 + 4b = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 4b = -9 + 3 4b = -9 + 3 Combine like terms: -9 + 3 = -6 4b = -6 Divide each side by '4'. b = -1.5 Simplifying b = -1.5
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