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Simplifying 0 = 10k + -1[4k + (-2 + 3k)] Remove parenthesis around (-2 + 3k) 0 = 10k + -1[4k + -2 + 3k] Reorder the terms: 0 = 10k + -1[-2 + 4k + 3k] Combine like terms: 4k + 3k = 7k 0 = 10k + -1[-2 + 7k] 0 = 10k + [-2 * -1 + 7k * -1] 0 = 10k + [2 + -7k] Reorder the terms: 0 = 2 + 10k + -7k Combine like terms: 10k + -7k = 3k 0 = 2 + 3k Solving 0 = 2 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 0 + -3k = 2 + 3k + -3k Remove the zero: -3k = 2 + 3k + -3k Combine like terms: 3k + -3k = 0 -3k = 2 + 0 -3k = 2 Divide each side by '-3'. k = -0.6666666667 Simplifying k = -0.6666666667
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