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Simplifying 6k + -6(7k + -5) = 246 Reorder the terms: 6k + -6(-5 + 7k) = 246 6k + (-5 * -6 + 7k * -6) = 246 6k + (30 + -42k) = 246 Reorder the terms: 30 + 6k + -42k = 246 Combine like terms: 6k + -42k = -36k 30 + -36k = 246 Solving 30 + -36k = 246 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -36k = 246 + -30 Combine like terms: 30 + -30 = 0 0 + -36k = 246 + -30 -36k = 246 + -30 Combine like terms: 246 + -30 = 216 -36k = 216 Divide each side by '-36'. k = -6 Simplifying k = -6
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