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Simplifying 9b + 6(4 + -8b) = 5(8 + -5b) + -12 9b + (4 * 6 + -8b * 6) = 5(8 + -5b) + -12 9b + (24 + -48b) = 5(8 + -5b) + -12 Reorder the terms: 24 + 9b + -48b = 5(8 + -5b) + -12 Combine like terms: 9b + -48b = -39b 24 + -39b = 5(8 + -5b) + -12 24 + -39b = (8 * 5 + -5b * 5) + -12 24 + -39b = (40 + -25b) + -12 Reorder the terms: 24 + -39b = 40 + -12 + -25b Combine like terms: 40 + -12 = 28 24 + -39b = 28 + -25b Solving 24 + -39b = 28 + -25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25b' to each side of the equation. 24 + -39b + 25b = 28 + -25b + 25b Combine like terms: -39b + 25b = -14b 24 + -14b = 28 + -25b + 25b Combine like terms: -25b + 25b = 0 24 + -14b = 28 + 0 24 + -14b = 28 Add '-24' to each side of the equation. 24 + -24 + -14b = 28 + -24 Combine like terms: 24 + -24 = 0 0 + -14b = 28 + -24 -14b = 28 + -24 Combine like terms: 28 + -24 = 4 -14b = 4 Divide each side by '-14'. b = -0.2857142857 Simplifying b = -0.2857142857
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