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Simplifying 3k + 6k + 12 = -4 + 7k Reorder the terms: 12 + 3k + 6k = -4 + 7k Combine like terms: 3k + 6k = 9k 12 + 9k = -4 + 7k Solving 12 + 9k = -4 + 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. 12 + 9k + -7k = -4 + 7k + -7k Combine like terms: 9k + -7k = 2k 12 + 2k = -4 + 7k + -7k Combine like terms: 7k + -7k = 0 12 + 2k = -4 + 0 12 + 2k = -4 Add '-12' to each side of the equation. 12 + -12 + 2k = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2k = -4 + -12 2k = -4 + -12 Combine like terms: -4 + -12 = -16 2k = -16 Divide each side by '2'. k = -8 Simplifying k = -8
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