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Simplifying 12k + -2k = 2k + -13k + -13 Combine like terms: 12k + -2k = 10k 10k = 2k + -13k + -13 Reorder the terms: 10k = -13 + 2k + -13k Combine like terms: 2k + -13k = -11k 10k = -13 + -11k Solving 10k = -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. 10k + 11k = -13 + -11k + 11k Combine like terms: 10k + 11k = 21k 21k = -13 + -11k + 11k Combine like terms: -11k + 11k = 0 21k = -13 + 0 21k = -13 Divide each side by '21'. k = -0.619047619 Simplifying k = -0.619047619
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