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Simplifying -26 + 10k = 3(1k + 3) Reorder the terms: -26 + 10k = 3(3 + 1k) -26 + 10k = (3 * 3 + 1k * 3) -26 + 10k = (9 + 3k) Solving -26 + 10k = 9 + 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. -26 + 10k + -3k = 9 + 3k + -3k Combine like terms: 10k + -3k = 7k -26 + 7k = 9 + 3k + -3k Combine like terms: 3k + -3k = 0 -26 + 7k = 9 + 0 -26 + 7k = 9 Add '26' to each side of the equation. -26 + 26 + 7k = 9 + 26 Combine like terms: -26 + 26 = 0 0 + 7k = 9 + 26 7k = 9 + 26 Combine like terms: 9 + 26 = 35 7k = 35 Divide each side by '7'. k = 5 Simplifying k = 5
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