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Simplifying 13 + 11k + -9k = -1k + -2k Combine like terms: 11k + -9k = 2k 13 + 2k = -1k + -2k Combine like terms: -1k + -2k = -3k 13 + 2k = -3k Solving 13 + 2k = -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. 13 + 2k + 3k = -3k + 3k Combine like terms: 2k + 3k = 5k 13 + 5k = -3k + 3k Combine like terms: -3k + 3k = 0 13 + 5k = 0 Add '-13' to each side of the equation. 13 + -13 + 5k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5k = 0 + -13 5k = 0 + -13 Combine like terms: 0 + -13 = -13 5k = -13 Divide each side by '5'. k = -2.6 Simplifying k = -2.6
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