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Simplifying -6(7k + -5) = -17 Reorder the terms: -6(-5 + 7k) = -17 (-5 * -6 + 7k * -6) = -17 (30 + -42k) = -17 Solving 30 + -42k = -17 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -42k = -17 + -30 Combine like terms: 30 + -30 = 0 0 + -42k = -17 + -30 -42k = -17 + -30 Combine like terms: -17 + -30 = -47 -42k = -47 Divide each side by '-42'. k = 1.119047619 Simplifying k = 1.119047619
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