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Simplifying 9k + 5 = 12k + 14 Reorder the terms: 5 + 9k = 12k + 14 Reorder the terms: 5 + 9k = 14 + 12k Solving 5 + 9k = 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. 5 + 9k + -12k = 14 + 12k + -12k Combine like terms: 9k + -12k = -3k 5 + -3k = 14 + 12k + -12k Combine like terms: 12k + -12k = 0 5 + -3k = 14 + 0 5 + -3k = 14 Add '-5' to each side of the equation. 5 + -5 + -3k = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -3k = 14 + -5 -3k = 14 + -5 Combine like terms: 14 + -5 = 9 -3k = 9 Divide each side by '-3'. k = -3 Simplifying k = -3
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