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Simplifying 13 + -12k = -14 + -15k Solving 13 + -12k = -14 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. 13 + -12k + 15k = -14 + -15k + 15k Combine like terms: -12k + 15k = 3k 13 + 3k = -14 + -15k + 15k Combine like terms: -15k + 15k = 0 13 + 3k = -14 + 0 13 + 3k = -14 Add '-13' to each side of the equation. 13 + -13 + 3k = -14 + -13 Combine like terms: 13 + -13 = 0 0 + 3k = -14 + -13 3k = -14 + -13 Combine like terms: -14 + -13 = -27 3k = -27 Divide each side by '3'. k = -9 Simplifying k = -9
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