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Simplifying 3(3b + 2) = -31 Reorder the terms: 3(2 + 3b) = -31 (2 * 3 + 3b * 3) = -31 (6 + 9b) = -31 Solving 6 + 9b = -31 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 + 9b = -31 + -6 Combine like terms: 6 + -6 = 0 0 + 9b = -31 + -6 9b = -31 + -6 Combine like terms: -31 + -6 = -37 9b = -37 Divide each side by '9'. b = -4.111111111 Simplifying b = -4.111111111
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