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Simplifying 6(1 + 7k) = 32 (1 * 6 + 7k * 6) = 32 (6 + 42k) = 32 Solving 6 + 42k = 32 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 = 32 + -6 Combine like terms: 6 + -6 = 0 0 + 42k = 32 + -6 42k = 32 + -6 Combine like terms: 32 + -6 = 26 42k = 26 Divide each side by '42'. k = 0.619047619 Simplifying k = 0.619047619
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