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Simplifying -6k + -3k + -1 = 2 + -6k Reorder the terms: -1 + -6k + -3k = 2 + -6k Combine like terms: -6k + -3k = -9k -1 + -9k = 2 + -6k Solving -1 + -9k = 2 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -1 + -9k + 6k = 2 + -6k + 6k Combine like terms: -9k + 6k = -3k -1 + -3k = 2 + -6k + 6k Combine like terms: -6k + 6k = 0 -1 + -3k = 2 + 0 -1 + -3k = 2 Add '1' to each side of the equation. -1 + 1 + -3k = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -3k = 2 + 1 -3k = 2 + 1 Combine like terms: 2 + 1 = 3 -3k = 3 Divide each side by '-3'. k = -1 Simplifying k = -1
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