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Simplifying -10(9 + -1k) = 3(k + 12) (9 * -10 + -1k * -10) = 3(k + 12) (-90 + 10k) = 3(k + 12) Reorder the terms: -90 + 10k = 3(12 + k) -90 + 10k = (12 * 3 + k * 3) -90 + 10k = (36 + 3k) Solving -90 + 10k = 36 + 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. -90 + 10k + -3k = 36 + 3k + -3k Combine like terms: 10k + -3k = 7k -90 + 7k = 36 + 3k + -3k Combine like terms: 3k + -3k = 0 -90 + 7k = 36 + 0 -90 + 7k = 36 Add '90' to each side of the equation. -90 + 90 + 7k = 36 + 90 Combine like terms: -90 + 90 = 0 0 + 7k = 36 + 90 7k = 36 + 90 Combine like terms: 36 + 90 = 126 7k = 126 Divide each side by '7'. k = 18 Simplifying k = 18
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