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Simplifying 3b + 4(b + 3) + 2 = 0 Reorder the terms: 3b + 4(3 + b) + 2 = 0 3b + (3 * 4 + b * 4) + 2 = 0 3b + (12 + 4b) + 2 = 0 Reorder the terms: 12 + 2 + 3b + 4b = 0 Combine like terms: 12 + 2 = 14 14 + 3b + 4b = 0 Combine like terms: 3b + 4b = 7b 14 + 7b = 0 Solving 14 + 7b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7b = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7b = 0 + -14 7b = 0 + -14 Combine like terms: 0 + -14 = -14 7b = -14 Divide each side by '7'. b = -2 Simplifying b = -2
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