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