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Simplifying 13 + 7k = 1 + 6(-6k + 2) Reorder the terms: 13 + 7k = 1 + 6(2 + -6k) 13 + 7k = 1 + (2 * 6 + -6k * 6) 13 + 7k = 1 + (12 + -36k) Combine like terms: 1 + 12 = 13 13 + 7k = 13 + -36k Add '-13' to each side of the equation. 13 + -13 + 7k = 13 + -13 + -36k Combine like terms: 13 + -13 = 0 0 + 7k = 13 + -13 + -36k 7k = 13 + -13 + -36k Combine like terms: 13 + -13 = 0 7k = 0 + -36k 7k = -36k Solving 7k = -36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36k' to each side of the equation. 7k + 36k = -36k + 36k Combine like terms: 7k + 36k = 43k 43k = -36k + 36k Combine like terms: -36k + 36k = 0 43k = 0 Divide each side by '43'. k = 0 Simplifying k = 0
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