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Simplifying -1k + 5 = 5k + -1 Reorder the terms: 5 + -1k = 5k + -1 Reorder the terms: 5 + -1k = -1 + 5k Solving 5 + -1k = -1 + 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. 5 + -1k + -5k = -1 + 5k + -5k Combine like terms: -1k + -5k = -6k 5 + -6k = -1 + 5k + -5k Combine like terms: 5k + -5k = 0 5 + -6k = -1 + 0 5 + -6k = -1 Add '-5' to each side of the equation. 5 + -5 + -6k = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -6k = -1 + -5 -6k = -1 + -5 Combine like terms: -1 + -5 = -6 -6k = -6 Divide each side by '-6'. k = 1 Simplifying k = 1
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