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Simplifying 5k + 4 = 3k + -2k Reorder the terms: 4 + 5k = 3k + -2k Combine like terms: 3k + -2k = 1k 4 + 5k = 1k Solving 4 + 5k = 1k 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. 4 + 5k + -1k = 1k + -1k Combine like terms: 5k + -1k = 4k 4 + 4k = 1k + -1k Combine like terms: 1k + -1k = 0 4 + 4k = 0 Add '-4' to each side of the equation. 4 + -4 + 4k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4k = 0 + -4 4k = 0 + -4 Combine like terms: 0 + -4 = -4 4k = -4 Divide each side by '4'. k = -1 Simplifying k = -1
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