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Simplifying 6(1 + -7k) = -37 (1 * 6 + -7k * 6) = -37 (6 + -42k) = -37 Solving 6 + -42k = -37 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 = -37 + -6 Combine like terms: 6 + -6 = 0 0 + -42k = -37 + -6 -42k = -37 + -6 Combine like terms: -37 + -6 = -43 -42k = -43 Divide each side by '-42'. k = 1.023809524 Simplifying k = 1.023809524
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