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Simplifying 5(b + 6) + 9 = 24 Reorder the terms: 5(6 + b) + 9 = 24 (6 * 5 + b * 5) + 9 = 24 (30 + 5b) + 9 = 24 Reorder the terms: 30 + 9 + 5b = 24 Combine like terms: 30 + 9 = 39 39 + 5b = 24 Solving 39 + 5b = 24 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 5b = 24 + -39 Combine like terms: 39 + -39 = 0 0 + 5b = 24 + -39 5b = 24 + -39 Combine like terms: 24 + -39 = -15 5b = -15 Divide each side by '5'. b = -3 Simplifying b = -3
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