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Simplifying -6(1 + 7k) + -5 = -4K + 27 (1 * -6 + 7k * -6) + -5 = -4K + 27 (-6 + -42k) + -5 = -4K + 27 Reorder the terms: -6 + -5 + -42k = -4K + 27 Combine like terms: -6 + -5 = -11 -11 + -42k = -4K + 27 Reorder the terms: -11 + -42k = 27 + -4K Solving -11 + -42k = 27 + -4K Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -42k = 27 + 11 + -4K Combine like terms: -11 + 11 = 0 0 + -42k = 27 + 11 + -4K -42k = 27 + 11 + -4K Combine like terms: 27 + 11 = 38 -42k = 38 + -4K Divide each side by '-42'. k = -0.9047619048 + 0.09523809524K Simplifying k = -0.9047619048 + 0.09523809524K
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