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Simplifying 5k + -3k = k + 1 Combine like terms: 5k + -3k = 2k 2k = k + 1 Reorder the terms: 2k = 1 + k Solving 2k = 1 + 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. 2k + -1k = 1 + k + -1k Combine like terms: 2k + -1k = 1k 1k = 1 + k + -1k Combine like terms: k + -1k = 0 1k = 1 + 0 1k = 1 Divide each side by '1'. k = 1 Simplifying k = 1
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