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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 = -4 -4 + -42k = 27 Solving -4 + -42k = 27 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 = 27 + 4 Combine like terms: -4 + 4 = 0 0 + -42k = 27 + 4 -42k = 27 + 4 Combine like terms: 27 + 4 = 31 -42k = 31 Divide each side by '-42'. k = -0.7380952381 Simplifying k = -0.7380952381
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