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Simplifying 5k + 1 = 8k + 6 + -4k Reorder the terms: 1 + 5k = 8k + 6 + -4k Reorder the terms: 1 + 5k = 6 + 8k + -4k Combine like terms: 8k + -4k = 4k 1 + 5k = 6 + 4k Solving 1 + 5k = 6 + 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. 1 + 5k + -4k = 6 + 4k + -4k Combine like terms: 5k + -4k = 1k 1 + 1k = 6 + 4k + -4k Combine like terms: 4k + -4k = 0 1 + 1k = 6 + 0 1 + 1k = 6 Add '-1' to each side of the equation. 1 + -1 + 1k = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 1k = 6 + -1 1k = 6 + -1 Combine like terms: 6 + -1 = 5 1k = 5 Divide each side by '1'. k = 5 Simplifying k = 5
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