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Simplifying 6k + 12 = -1k + -5 + -4 Reorder the terms: 12 + 6k = -1k + -5 + -4 Reorder the terms: 12 + 6k = -5 + -4 + -1k Combine like terms: -5 + -4 = -9 12 + 6k = -9 + -1k Solving 12 + 6k = -9 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 12 + 6k + k = -9 + -1k + k Combine like terms: 6k + k = 7k 12 + 7k = -9 + -1k + k Combine like terms: -1k + k = 0 12 + 7k = -9 + 0 12 + 7k = -9 Add '-12' to each side of the equation. 12 + -12 + 7k = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 7k = -9 + -12 7k = -9 + -12 Combine like terms: -9 + -12 = -21 7k = -21 Divide each side by '7'. k = -3 Simplifying k = -3
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