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Simplifying 1 + -4k = -5k + -1 Reorder the terms: 1 + -4k = -1 + -5k Solving 1 + -4k = -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. 1 + -4k + 5k = -1 + -5k + 5k Combine like terms: -4k + 5k = 1k 1 + 1k = -1 + -5k + 5k Combine like terms: -5k + 5k = 0 1 + 1k = -1 + 0 1 + 1k = -1 Add '-1' to each side of the equation. 1 + -1 + 1k = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 1k = -1 + -1 1k = -1 + -1 Combine like terms: -1 + -1 = -2 1k = -2 Divide each side by '1'. k = -2 Simplifying k = -2
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