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Simplifying -6(1 + -7k) = 78 (1 * -6 + -7k * -6) = 78 (-6 + 42k) = 78 Solving -6 + 42k = 78 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 = 78 + 6 Combine like terms: -6 + 6 = 0 0 + 42k = 78 + 6 42k = 78 + 6 Combine like terms: 78 + 6 = 84 42k = 84 Divide each side by '42'. k = 2 Simplifying k = 2
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