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Simplifying 31 = -2(3b + 7) Reorder the terms: 31 = -2(7 + 3b) 31 = (7 * -2 + 3b * -2) 31 = (-14 + -6b) Solving 31 = -14 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 31 + 6b = -14 + -6b + 6b Combine like terms: -6b + 6b = 0 31 + 6b = -14 + 0 31 + 6b = -14 Add '-31' to each side of the equation. 31 + -31 + 6b = -14 + -31 Combine like terms: 31 + -31 = 0 0 + 6b = -14 + -31 6b = -14 + -31 Combine like terms: -14 + -31 = -45 6b = -45 Divide each side by '6'. b = -7.5 Simplifying b = -7.5
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