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Simplifying 1 + 5k = k + 17 Reorder the terms: 1 + 5k = 17 + k Solving 1 + 5k = 17 + k 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. 1 + 5k + -1k = 17 + k + -1k Combine like terms: 5k + -1k = 4k 1 + 4k = 17 + k + -1k Combine like terms: k + -1k = 0 1 + 4k = 17 + 0 1 + 4k = 17 Add '-1' to each side of the equation. 1 + -1 + 4k = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 4k = 17 + -1 4k = 17 + -1 Combine like terms: 17 + -1 = 16 4k = 16 Divide each side by '4'. k = 4 Simplifying k = 4
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