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Simplifying 4 + -5k = -4k + 7 Reorder the terms: 4 + -5k = 7 + -4k Solving 4 + -5k = 7 + -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. 4 + -5k + 4k = 7 + -4k + 4k Combine like terms: -5k + 4k = -1k 4 + -1k = 7 + -4k + 4k Combine like terms: -4k + 4k = 0 4 + -1k = 7 + 0 4 + -1k = 7 Add '-4' to each side of the equation. 4 + -4 + -1k = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 7 + -4 -1k = 7 + -4 Combine like terms: 7 + -4 = 3 -1k = 3 Divide each side by '-1'. k = -3 Simplifying k = -3
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