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Simplifying -12k + -2k = -2k + -13k + -13 Combine like terms: -12k + -2k = -14k -14k = -2k + -13k + -13 Reorder the terms: -14k = -13 + -2k + -13k Combine like terms: -2k + -13k = -15k -14k = -13 + -15k Solving -14k = -13 + -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. -14k + 15k = -13 + -15k + 15k Combine like terms: -14k + 15k = 1k 1k = -13 + -15k + 15k Combine like terms: -15k + 15k = 0 1k = -13 + 0 1k = -13 Divide each side by '1'. k = -13 Simplifying k = -13
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