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Simplifying -1k + 9 + -2k + -1 = -13 Reorder the terms: 9 + -1 + -1k + -2k = -13 Combine like terms: 9 + -1 = 8 8 + -1k + -2k = -13 Combine like terms: -1k + -2k = -3k 8 + -3k = -13 Solving 8 + -3k = -13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3k = -13 + -8 Combine like terms: 8 + -8 = 0 0 + -3k = -13 + -8 -3k = -13 + -8 Combine like terms: -13 + -8 = -21 -3k = -21 Divide each side by '-3'. k = 7 Simplifying k = 7
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