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Simplifying 12k + -13 + -6k = 7k Reorder the terms: -13 + 12k + -6k = 7k Combine like terms: 12k + -6k = 6k -13 + 6k = 7k Solving -13 + 6k = 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. -13 + 6k + -7k = 7k + -7k Combine like terms: 6k + -7k = -1k -13 + -1k = 7k + -7k Combine like terms: 7k + -7k = 0 -13 + -1k = 0 Add '13' to each side of the equation. -13 + 13 + -1k = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1k = 0 + 13 -1k = 0 + 13 Combine like terms: 0 + 13 = 13 -1k = 13 Divide each side by '-1'. k = -13 Simplifying k = -13
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