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Simplifying 15k + 20 = 12k + 14 Reorder the terms: 20 + 15k = 12k + 14 Reorder the terms: 20 + 15k = 14 + 12k Solving 20 + 15k = 14 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 20 + 15k + -12k = 14 + 12k + -12k Combine like terms: 15k + -12k = 3k 20 + 3k = 14 + 12k + -12k Combine like terms: 12k + -12k = 0 20 + 3k = 14 + 0 20 + 3k = 14 Add '-20' to each side of the equation. 20 + -20 + 3k = 14 + -20 Combine like terms: 20 + -20 = 0 0 + 3k = 14 + -20 3k = 14 + -20 Combine like terms: 14 + -20 = -6 3k = -6 Divide each side by '3'. k = -2 Simplifying k = -2
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