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Simplifying 6 + -5(3k + -1) = 7k Reorder the terms: 6 + -5(-1 + 3k) = 7k 6 + (-1 * -5 + 3k * -5) = 7k 6 + (5 + -15k) = 7k Combine like terms: 6 + 5 = 11 11 + -15k = 7k Solving 11 + -15k = 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 11 + -15k + -7k = 7k + -7k Combine like terms: -15k + -7k = -22k 11 + -22k = 7k + -7k Combine like terms: 7k + -7k = 0 11 + -22k = 0 Add '-11' to each side of the equation. 11 + -11 + -22k = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -22k = 0 + -11 -22k = 0 + -11 Combine like terms: 0 + -11 = -11 -22k = -11 Divide each side by '-22'. k = 0.5 Simplifying k = 0.5
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