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Simplifying [6k + -1] = [3k + 6] Reorder the terms: [-1 + 6k] = [3k + 6] Remove brackets around [-1 + 6k] -1 + 6k = [3k + 6] Reorder the terms: -1 + 6k = [6 + 3k] Remove brackets around [6 + 3k] -1 + 6k = 6 + 3k Solving -1 + 6k = 6 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -1 + 6k + -3k = 6 + 3k + -3k Combine like terms: 6k + -3k = 3k -1 + 3k = 6 + 3k + -3k Combine like terms: 3k + -3k = 0 -1 + 3k = 6 + 0 -1 + 3k = 6 Add '1' to each side of the equation. -1 + 1 + 3k = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 3k = 6 + 1 3k = 6 + 1 Combine like terms: 6 + 1 = 7 3k = 7 Divide each side by '3'. k = 2.333333333 Simplifying k = 2.333333333
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