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Simplifying 6k + 54 + -2 + 9k = 14k Reorder the terms: 54 + -2 + 6k + 9k = 14k Combine like terms: 54 + -2 = 52 52 + 6k + 9k = 14k Combine like terms: 6k + 9k = 15k 52 + 15k = 14k Solving 52 + 15k = 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 52 + 15k + -14k = 14k + -14k Combine like terms: 15k + -14k = 1k 52 + 1k = 14k + -14k Combine like terms: 14k + -14k = 0 52 + 1k = 0 Add '-52' to each side of the equation. 52 + -52 + 1k = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 1k = 0 + -52 1k = 0 + -52 Combine like terms: 0 + -52 = -52 1k = -52 Divide each side by '1'. k = -52 Simplifying k = -52
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