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Simplifying 3k + 2k + 4 = 6k + 5 + -5k Reorder the terms: 4 + 3k + 2k = 6k + 5 + -5k Combine like terms: 3k + 2k = 5k 4 + 5k = 6k + 5 + -5k Reorder the terms: 4 + 5k = 5 + 6k + -5k Combine like terms: 6k + -5k = 1k 4 + 5k = 5 + 1k Solving 4 + 5k = 5 + 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 = 5 + 1k + -1k Combine like terms: 5k + -1k = 4k 4 + 4k = 5 + 1k + -1k Combine like terms: 1k + -1k = 0 4 + 4k = 5 + 0 4 + 4k = 5 Add '-4' to each side of the equation. 4 + -4 + 4k = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 4k = 5 + -4 4k = 5 + -4 Combine like terms: 5 + -4 = 1 4k = 1 Divide each side by '4'. k = 0.25 Simplifying k = 0.25
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