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Simplifying 82 = -7(b + 2) + -5b Reorder the terms: 82 = -7(2 + b) + -5b 82 = (2 * -7 + b * -7) + -5b 82 = (-14 + -7b) + -5b Combine like terms: -7b + -5b = -12b 82 = -14 + -12b Solving 82 = -14 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. 82 + 12b = -14 + -12b + 12b Combine like terms: -12b + 12b = 0 82 + 12b = -14 + 0 82 + 12b = -14 Add '-82' to each side of the equation. 82 + -82 + 12b = -14 + -82 Combine like terms: 82 + -82 = 0 0 + 12b = -14 + -82 12b = -14 + -82 Combine like terms: -14 + -82 = -96 12b = -96 Divide each side by '12'. b = -8 Simplifying b = -8
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