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Simplifying -6(7k + 2) = 0 Reorder the terms: -6(2 + 7k) = 0 (2 * -6 + 7k * -6) = 0 (-12 + -42k) = 0 Solving -12 + -42k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -42k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -42k = 0 + 12 -42k = 0 + 12 Combine like terms: 0 + 12 = 12 -42k = 12 Divide each side by '-42'. k = -0.2857142857 Simplifying k = -0.2857142857
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