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Simplifying 2 + 6(1 + -7k) = 27 2 + (1 * 6 + -7k * 6) = 27 2 + (6 + -42k) = 27 Combine like terms: 2 + 6 = 8 8 + -42k = 27 Solving 8 + -42k = 27 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -42k = 27 + -8 Combine like terms: 8 + -8 = 0 0 + -42k = 27 + -8 -42k = 27 + -8 Combine like terms: 27 + -8 = 19 -42k = 19 Divide each side by '-42'. k = -0.4523809524 Simplifying k = -0.4523809524
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