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Simplifying 82 = -31 + k Solving 82 = -31 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 82 + -1k = -31 + k + -1k Combine like terms: k + -1k = 0 82 + -1k = -31 + 0 82 + -1k = -31 Add '-82' to each side of the equation. 82 + -82 + -1k = -31 + -82 Combine like terms: 82 + -82 = 0 0 + -1k = -31 + -82 -1k = -31 + -82 Combine like terms: -31 + -82 = -113 -1k = -113 Divide each side by '-1'. k = 113 Simplifying k = 113
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