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Simplifying 14 = 6k + 5 + -3k Reorder the terms: 14 = 5 + 6k + -3k Combine like terms: 6k + -3k = 3k 14 = 5 + 3k Solving 14 = 5 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 14 + -3k = 5 + 3k + -3k Combine like terms: 3k + -3k = 0 14 + -3k = 5 + 0 14 + -3k = 5 Add '-14' to each side of the equation. 14 + -14 + -3k = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -3k = 5 + -14 -3k = 5 + -14 Combine like terms: 5 + -14 = -9 -3k = -9 Divide each side by '-3'. k = 3 Simplifying k = 3
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