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Simplifying -14 + 5k = k + -3k Combine like terms: k + -3k = -2k -14 + 5k = -2k Solving -14 + 5k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -14 + 5k + 2k = -2k + 2k Combine like terms: 5k + 2k = 7k -14 + 7k = -2k + 2k Combine like terms: -2k + 2k = 0 -14 + 7k = 0 Add '14' to each side of the equation. -14 + 14 + 7k = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 7k = 0 + 14 7k = 0 + 14 Combine like terms: 0 + 14 = 14 7k = 14 Divide each side by '7'. k = 2 Simplifying k = 2
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