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Simplifying -1 = -1(3 + -8k) + -1k -1 = (3 * -1 + -8k * -1) + -1k -1 = (-3 + 8k) + -1k Combine like terms: 8k + -1k = 7k -1 = -3 + 7k Solving -1 = -3 + 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. -1 + -7k = -3 + 7k + -7k Combine like terms: 7k + -7k = 0 -1 + -7k = -3 + 0 -1 + -7k = -3 Add '1' to each side of the equation. -1 + 1 + -7k = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -7k = -3 + 1 -7k = -3 + 1 Combine like terms: -3 + 1 = -2 -7k = -2 Divide each side by '-7'. k = 0.2857142857 Simplifying k = 0.2857142857
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