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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 = -51 -1k = -51 Divide each side by '-1'. k = 51 Simplifying k = 51
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