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Simplifying 2k + -16 = 14 + -7k Reorder the terms: -16 + 2k = 14 + -7k Solving -16 + 2k = 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. -16 + 2k + 7k = 14 + -7k + 7k Combine like terms: 2k + 7k = 9k -16 + 9k = 14 + -7k + 7k Combine like terms: -7k + 7k = 0 -16 + 9k = 14 + 0 -16 + 9k = 14 Add '16' to each side of the equation. -16 + 16 + 9k = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 9k = 14 + 16 9k = 14 + 16 Combine like terms: 14 + 16 = 30 9k = 30 Divide each side by '9'. k = 3.333333333 Simplifying k = 3.333333333
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