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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 = -11k -14k = -13 + -11k Solving -14k = -13 + -11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11k' to each side of the equation. -14k + 11k = -13 + -11k + 11k Combine like terms: -14k + 11k = -3k -3k = -13 + -11k + 11k Combine like terms: -11k + 11k = 0 -3k = -13 + 0 -3k = -13 Divide each side by '-3'. k = 4.333333333 Simplifying k = 4.333333333
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