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Simplifying 9(k + -2) + -1k = k + 10 Reorder the terms: 9(-2 + k) + -1k = k + 10 (-2 * 9 + k * 9) + -1k = k + 10 (-18 + 9k) + -1k = k + 10 Combine like terms: 9k + -1k = 8k -18 + 8k = k + 10 Reorder the terms: -18 + 8k = 10 + k Solving -18 + 8k = 10 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -18 + 8k + -1k = 10 + k + -1k Combine like terms: 8k + -1k = 7k -18 + 7k = 10 + k + -1k Combine like terms: k + -1k = 0 -18 + 7k = 10 + 0 -18 + 7k = 10 Add '18' to each side of the equation. -18 + 18 + 7k = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 7k = 10 + 18 7k = 10 + 18 Combine like terms: 10 + 18 = 28 7k = 28 Divide each side by '7'. k = 4 Simplifying k = 4
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