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Simplifying 5(6b + -9) = 32 + -8b Reorder the terms: 5(-9 + 6b) = 32 + -8b (-9 * 5 + 6b * 5) = 32 + -8b (-45 + 30b) = 32 + -8b Solving -45 + 30b = 32 + -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. -45 + 30b + 8b = 32 + -8b + 8b Combine like terms: 30b + 8b = 38b -45 + 38b = 32 + -8b + 8b Combine like terms: -8b + 8b = 0 -45 + 38b = 32 + 0 -45 + 38b = 32 Add '45' to each side of the equation. -45 + 45 + 38b = 32 + 45 Combine like terms: -45 + 45 = 0 0 + 38b = 32 + 45 38b = 32 + 45 Combine like terms: 32 + 45 = 77 38b = 77 Divide each side by '38'. b = 2.026315789 Simplifying b = 2.026315789
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