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Simplifying 6k = 2(7k + 6) Reorder the terms: 6k = 2(6 + 7k) 6k = (6 * 2 + 7k * 2) 6k = (12 + 14k) Solving 6k = 12 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 6k + -14k = 12 + 14k + -14k Combine like terms: 6k + -14k = -8k -8k = 12 + 14k + -14k Combine like terms: 14k + -14k = 0 -8k = 12 + 0 -8k = 12 Divide each side by '-8'. k = -1.5 Simplifying k = -1.5
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