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Simplifying -6(1 + -7k) = 24 (1 * -6 + -7k * -6) = 24 (-6 + 42k) = 24 Solving -6 + 42k = 24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 42k = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 42k = 24 + 6 42k = 24 + 6 Combine like terms: 24 + 6 = 30 42k = 30 Divide each side by '42'. k = 0.7142857143 Simplifying k = 0.7142857143
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