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Simplifying 3(4b + 2) = 42 Reorder the terms: 3(2 + 4b) = 42 (2 * 3 + 4b * 3) = 42 (6 + 12b) = 42 Solving 6 + 12b = 42 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12b = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 12b = 42 + -6 12b = 42 + -6 Combine like terms: 42 + -6 = 36 12b = 36 Divide each side by '12'. b = 3 Simplifying b = 3
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