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Simplifying -6k + 34 = -5k + -82 Reorder the terms: 34 + -6k = -5k + -82 Reorder the terms: 34 + -6k = -82 + -5k Solving 34 + -6k = -82 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 34 + -6k + 5k = -82 + -5k + 5k Combine like terms: -6k + 5k = -1k 34 + -1k = -82 + -5k + 5k Combine like terms: -5k + 5k = 0 34 + -1k = -82 + 0 34 + -1k = -82 Add '-34' to each side of the equation. 34 + -34 + -1k = -82 + -34 Combine like terms: 34 + -34 = 0 0 + -1k = -82 + -34 -1k = -82 + -34 Combine like terms: -82 + -34 = -116 -1k = -116 Divide each side by '-1'. k = 116 Simplifying k = 116
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