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Simplifying 9b + -3(2b + 3) + 12 = 0 Reorder the terms: 9b + -3(3 + 2b) + 12 = 0 9b + (3 * -3 + 2b * -3) + 12 = 0 9b + (-9 + -6b) + 12 = 0 Reorder the terms: -9 + 12 + 9b + -6b = 0 Combine like terms: -9 + 12 = 3 3 + 9b + -6b = 0 Combine like terms: 9b + -6b = 3b 3 + 3b = 0 Solving 3 + 3b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3b = 0 + -3 3b = 0 + -3 Combine like terms: 0 + -3 = -3 3b = -3 Divide each side by '3'. b = -1 Simplifying b = -1
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