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Simplifying 9(b + 6) + -3 = 78 Reorder the terms: 9(6 + b) + -3 = 78 (6 * 9 + b * 9) + -3 = 78 (54 + 9b) + -3 = 78 Reorder the terms: 54 + -3 + 9b = 78 Combine like terms: 54 + -3 = 51 51 + 9b = 78 Solving 51 + 9b = 78 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 9b = 78 + -51 Combine like terms: 51 + -51 = 0 0 + 9b = 78 + -51 9b = 78 + -51 Combine like terms: 78 + -51 = 27 9b = 27 Divide each side by '9'. b = 3 Simplifying b = 3
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