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Simplifying 9(b + 3) + -3 = 78 Reorder the terms: 9(3 + b) + -3 = 78 (3 * 9 + b * 9) + -3 = 78 (27 + 9b) + -3 = 78 Reorder the terms: 27 + -3 + 9b = 78 Combine like terms: 27 + -3 = 24 24 + 9b = 78 Solving 24 + 9b = 78 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 9b = 78 + -24 Combine like terms: 24 + -24 = 0 0 + 9b = 78 + -24 9b = 78 + -24 Combine like terms: 78 + -24 = 54 9b = 54 Divide each side by '9'. b = 6 Simplifying b = 6
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