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Simplifying k + 6 + -7k = -8k + 12 Reorder the terms: 6 + k + -7k = -8k + 12 Combine like terms: k + -7k = -6k 6 + -6k = -8k + 12 Reorder the terms: 6 + -6k = 12 + -8k Solving 6 + -6k = 12 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 6 + -6k + 8k = 12 + -8k + 8k Combine like terms: -6k + 8k = 2k 6 + 2k = 12 + -8k + 8k Combine like terms: -8k + 8k = 0 6 + 2k = 12 + 0 6 + 2k = 12 Add '-6' to each side of the equation. 6 + -6 + 2k = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2k = 12 + -6 2k = 12 + -6 Combine like terms: 12 + -6 = 6 2k = 6 Divide each side by '2'. k = 3 Simplifying k = 3
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