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Simplifying 2 + -1k + 14 = 6k + 2 Reorder the terms: 2 + 14 + -1k = 6k + 2 Combine like terms: 2 + 14 = 16 16 + -1k = 6k + 2 Reorder the terms: 16 + -1k = 2 + 6k Solving 16 + -1k = 2 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 16 + -1k + -6k = 2 + 6k + -6k Combine like terms: -1k + -6k = -7k 16 + -7k = 2 + 6k + -6k Combine like terms: 6k + -6k = 0 16 + -7k = 2 + 0 16 + -7k = 2 Add '-16' to each side of the equation. 16 + -16 + -7k = 2 + -16 Combine like terms: 16 + -16 = 0 0 + -7k = 2 + -16 -7k = 2 + -16 Combine like terms: 2 + -16 = -14 -7k = -14 Divide each side by '-7'. k = 2 Simplifying k = 2
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