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Simplifying -5(b + -2) = 31 + 2b Reorder the terms: -5(-2 + b) = 31 + 2b (-2 * -5 + b * -5) = 31 + 2b (10 + -5b) = 31 + 2b Solving 10 + -5b = 31 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 10 + -5b + -2b = 31 + 2b + -2b Combine like terms: -5b + -2b = -7b 10 + -7b = 31 + 2b + -2b Combine like terms: 2b + -2b = 0 10 + -7b = 31 + 0 10 + -7b = 31 Add '-10' to each side of the equation. 10 + -10 + -7b = 31 + -10 Combine like terms: 10 + -10 = 0 0 + -7b = 31 + -10 -7b = 31 + -10 Combine like terms: 31 + -10 = 21 -7b = 21 Divide each side by '-7'. b = -3 Simplifying b = -3
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