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Simplifying 3b + 3(3b + 2) = -42 Reorder the terms: 3b + 3(2 + 3b) = -42 3b + (2 * 3 + 3b * 3) = -42 3b + (6 + 9b) = -42 Reorder the terms: 6 + 3b + 9b = -42 Combine like terms: 3b + 9b = 12b 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 = -48 12b = -48 Divide each side by '12'. b = -4 Simplifying b = -4
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