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