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Simplifying 31 = 2 + 6(k + -9) Reorder the terms: 31 = 2 + 6(-9 + k) 31 = 2 + (-9 * 6 + k * 6) 31 = 2 + (-54 + 6k) Combine like terms: 2 + -54 = -52 31 = -52 + 6k Solving 31 = -52 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 31 + -6k = -52 + 6k + -6k Combine like terms: 6k + -6k = 0 31 + -6k = -52 + 0 31 + -6k = -52 Add '-31' to each side of the equation. 31 + -31 + -6k = -52 + -31 Combine like terms: 31 + -31 = 0 0 + -6k = -52 + -31 -6k = -52 + -31 Combine like terms: -52 + -31 = -83 -6k = -83 Divide each side by '-6'. k = 13.83333333 Simplifying k = 13.83333333
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