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Simplifying 3(3b + -2) + 2(b + 5) = 0 Reorder the terms: 3(-2 + 3b) + 2(b + 5) = 0 (-2 * 3 + 3b * 3) + 2(b + 5) = 0 (-6 + 9b) + 2(b + 5) = 0 Reorder the terms: -6 + 9b + 2(5 + b) = 0 -6 + 9b + (5 * 2 + b * 2) = 0 -6 + 9b + (10 + 2b) = 0 Reorder the terms: -6 + 10 + 9b + 2b = 0 Combine like terms: -6 + 10 = 4 4 + 9b + 2b = 0 Combine like terms: 9b + 2b = 11b 4 + 11b = 0 Solving 4 + 11b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 11b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 11b = 0 + -4 11b = 0 + -4 Combine like terms: 0 + -4 = -4 11b = -4 Divide each side by '11'. b = -0.3636363636 Simplifying b = -0.3636363636
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