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Simplifying 3k + 1 + -6k = 9k + 8 + -9k Reorder the terms: 1 + 3k + -6k = 9k + 8 + -9k Combine like terms: 3k + -6k = -3k 1 + -3k = 9k + 8 + -9k Reorder the terms: 1 + -3k = 8 + 9k + -9k Combine like terms: 9k + -9k = 0 1 + -3k = 8 + 0 1 + -3k = 8 Solving 1 + -3k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3k = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -3k = 8 + -1 -3k = 8 + -1 Combine like terms: 8 + -1 = 7 -3k = 7 Divide each side by '-3'. k = -2.333333333 Simplifying k = -2.333333333
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