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Simplifying 14 + 3k = 6k + -7k Combine like terms: 6k + -7k = -1k 14 + 3k = -1k Solving 14 + 3k = -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 14 + 3k + k = -1k + k Combine like terms: 3k + k = 4k 14 + 4k = -1k + k Combine like terms: -1k + k = 0 14 + 4k = 0 Add '-14' to each side of the equation. 14 + -14 + 4k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4k = 0 + -14 4k = 0 + -14 Combine like terms: 0 + -14 = -14 4k = -14 Divide each side by '4'. k = -3.5 Simplifying k = -3.5
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