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Simplifying 9(b + 1) = 3b + 15 Reorder the terms: 9(1 + b) = 3b + 15 (1 * 9 + b * 9) = 3b + 15 (9 + 9b) = 3b + 15 Reorder the terms: 9 + 9b = 15 + 3b Solving 9 + 9b = 15 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 9 + 9b + -3b = 15 + 3b + -3b Combine like terms: 9b + -3b = 6b 9 + 6b = 15 + 3b + -3b Combine like terms: 3b + -3b = 0 9 + 6b = 15 + 0 9 + 6b = 15 Add '-9' to each side of the equation. 9 + -9 + 6b = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 6b = 15 + -9 6b = 15 + -9 Combine like terms: 15 + -9 = 6 6b = 6 Divide each side by '6'. b = 1 Simplifying b = 1
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