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Simplifying 3 + -5k = -4k + 9 Reorder the terms: 3 + -5k = 9 + -4k Solving 3 + -5k = 9 + -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. 3 + -5k + 4k = 9 + -4k + 4k Combine like terms: -5k + 4k = -1k 3 + -1k = 9 + -4k + 4k Combine like terms: -4k + 4k = 0 3 + -1k = 9 + 0 3 + -1k = 9 Add '-3' to each side of the equation. 3 + -3 + -1k = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = 9 + -3 -1k = 9 + -3 Combine like terms: 9 + -3 = 6 -1k = 6 Divide each side by '-1'. k = -6 Simplifying k = -6
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