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Simplifying 2k + 5 = 17 + -4k Reorder the terms: 5 + 2k = 17 + -4k Solving 5 + 2k = 17 + -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. 5 + 2k + 4k = 17 + -4k + 4k Combine like terms: 2k + 4k = 6k 5 + 6k = 17 + -4k + 4k Combine like terms: -4k + 4k = 0 5 + 6k = 17 + 0 5 + 6k = 17 Add '-5' to each side of the equation. 5 + -5 + 6k = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 6k = 17 + -5 6k = 17 + -5 Combine like terms: 17 + -5 = 12 6k = 12 Divide each side by '6'. k = 2 Simplifying k = 2
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