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Simplifying 3(3b + 5) = 42 Reorder the terms: 3(5 + 3b) = 42 (5 * 3 + 3b * 3) = 42 (15 + 9b) = 42 Solving 15 + 9b = 42 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 9b = 42 + -15 Combine like terms: 15 + -15 = 0 0 + 9b = 42 + -15 9b = 42 + -15 Combine like terms: 42 + -15 = 27 9b = 27 Divide each side by '9'. b = 3 Simplifying b = 3
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