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Simplifying 14 + 2k = 7k + -3k Combine like terms: 7k + -3k = 4k 14 + 2k = 4k Solving 14 + 2k = 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 14 + 2k + -4k = 4k + -4k Combine like terms: 2k + -4k = -2k 14 + -2k = 4k + -4k Combine like terms: 4k + -4k = 0 14 + -2k = 0 Add '-14' to each side of the equation. 14 + -14 + -2k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2k = 0 + -14 -2k = 0 + -14 Combine like terms: 0 + -14 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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