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Simplifying -7k + -2(9 + -5k) = 0 -7k + (9 * -2 + -5k * -2) = 0 -7k + (-18 + 10k) = 0 Reorder the terms: -18 + -7k + 10k = 0 Combine like terms: -7k + 10k = 3k -18 + 3k = 0 Solving -18 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 3k = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3k = 0 + 18 3k = 0 + 18 Combine like terms: 0 + 18 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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