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Simplifying 6(-6k + -2) = 7k + 31 Reorder the terms: 6(-2 + -6k) = 7k + 31 (-2 * 6 + -6k * 6) = 7k + 31 (-12 + -36k) = 7k + 31 Reorder the terms: -12 + -36k = 31 + 7k Solving -12 + -36k = 31 + 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 + -36k + -7k = 31 + 7k + -7k Combine like terms: -36k + -7k = -43k -12 + -43k = 31 + 7k + -7k Combine like terms: 7k + -7k = 0 -12 + -43k = 31 + 0 -12 + -43k = 31 Add '12' to each side of the equation. -12 + 12 + -43k = 31 + 12 Combine like terms: -12 + 12 = 0 0 + -43k = 31 + 12 -43k = 31 + 12 Combine like terms: 31 + 12 = 43 -43k = 43 Divide each side by '-43'. k = -1 Simplifying k = -1
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