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Simplifying 82 = -5(b + -2) + b Reorder the terms: 82 = -5(-2 + b) + b 82 = (-2 * -5 + b * -5) + b 82 = (10 + -5b) + b Combine like terms: -5b + b = -4b 82 = 10 + -4b Solving 82 = 10 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 82 + 4b = 10 + -4b + 4b Combine like terms: -4b + 4b = 0 82 + 4b = 10 + 0 82 + 4b = 10 Add '-82' to each side of the equation. 82 + -82 + 4b = 10 + -82 Combine like terms: 82 + -82 = 0 0 + 4b = 10 + -82 4b = 10 + -82 Combine like terms: 10 + -82 = -72 4b = -72 Divide each side by '4'. b = -18 Simplifying b = -18
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