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Simplifying 6k + 1 + -2k = 5k + 8 + -3k Reorder the terms: 1 + 6k + -2k = 5k + 8 + -3k Combine like terms: 6k + -2k = 4k 1 + 4k = 5k + 8 + -3k Reorder the terms: 1 + 4k = 8 + 5k + -3k Combine like terms: 5k + -3k = 2k 1 + 4k = 8 + 2k Solving 1 + 4k = 8 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 1 + 4k + -2k = 8 + 2k + -2k Combine like terms: 4k + -2k = 2k 1 + 2k = 8 + 2k + -2k Combine like terms: 2k + -2k = 0 1 + 2k = 8 + 0 1 + 2k = 8 Add '-1' to each side of the equation. 1 + -1 + 2k = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 2k = 8 + -1 2k = 8 + -1 Combine like terms: 8 + -1 = 7 2k = 7 Divide each side by '2'. k = 3.5 Simplifying k = 3.5
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