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Simplifying -9 + -2k = k + 6 Reorder the terms: -9 + -2k = 6 + k Solving -9 + -2k = 6 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -9 + -2k + -1k = 6 + k + -1k Combine like terms: -2k + -1k = -3k -9 + -3k = 6 + k + -1k Combine like terms: k + -1k = 0 -9 + -3k = 6 + 0 -9 + -3k = 6 Add '9' to each side of the equation. -9 + 9 + -3k = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -3k = 6 + 9 -3k = 6 + 9 Combine like terms: 6 + 9 = 15 -3k = 15 Divide each side by '-3'. k = -5 Simplifying k = -5
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