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Simplifying -5k + 1 = -4k + -5 Reorder the terms: 1 + -5k = -4k + -5 Reorder the terms: 1 + -5k = -5 + -4k Solving 1 + -5k = -5 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 1 + -5k + 4k = -5 + -4k + 4k Combine like terms: -5k + 4k = -1k 1 + -1k = -5 + -4k + 4k Combine like terms: -4k + 4k = 0 1 + -1k = -5 + 0 1 + -1k = -5 Add '-1' to each side of the equation. 1 + -1 + -1k = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = -5 + -1 -1k = -5 + -1 Combine like terms: -5 + -1 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6
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