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Simplifying -6(6k + -5) + 1 = 463 Reorder the terms: -6(-5 + 6k) + 1 = 463 (-5 * -6 + 6k * -6) + 1 = 463 (30 + -36k) + 1 = 463 Reorder the terms: 30 + 1 + -36k = 463 Combine like terms: 30 + 1 = 31 31 + -36k = 463 Solving 31 + -36k = 463 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -36k = 463 + -31 Combine like terms: 31 + -31 = 0 0 + -36k = 463 + -31 -36k = 463 + -31 Combine like terms: 463 + -31 = 432 -36k = 432 Divide each side by '-36'. k = -12 Simplifying k = -12
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