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Simplifying -2 + 6(1 + -7k) = 24 -2 + (1 * 6 + -7k * 6) = 24 -2 + (6 + -42k) = 24 Combine like terms: -2 + 6 = 4 4 + -42k = 24 Solving 4 + -42k = 24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -42k = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -42k = 24 + -4 -42k = 24 + -4 Combine like terms: 24 + -4 = 20 -42k = 20 Divide each side by '-42'. k = -0.4761904762 Simplifying k = -0.4761904762
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