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Simplifying 24k + 72 = 17k + 1 Reorder the terms: 72 + 24k = 17k + 1 Reorder the terms: 72 + 24k = 1 + 17k Solving 72 + 24k = 1 + 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. 72 + 24k + -17k = 1 + 17k + -17k Combine like terms: 24k + -17k = 7k 72 + 7k = 1 + 17k + -17k Combine like terms: 17k + -17k = 0 72 + 7k = 1 + 0 72 + 7k = 1 Add '-72' to each side of the equation. 72 + -72 + 7k = 1 + -72 Combine like terms: 72 + -72 = 0 0 + 7k = 1 + -72 7k = 1 + -72 Combine like terms: 1 + -72 = -71 7k = -71 Divide each side by '7'. k = -10.14285714 Simplifying k = -10.14285714
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