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Simplifying 17 + 3k = 24 + -4k Solving 17 + 3k = 24 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 17 + 3k + 4k = 24 + -4k + 4k Combine like terms: 3k + 4k = 7k 17 + 7k = 24 + -4k + 4k Combine like terms: -4k + 4k = 0 17 + 7k = 24 + 0 17 + 7k = 24 Add '-17' to each side of the equation. 17 + -17 + 7k = 24 + -17 Combine like terms: 17 + -17 = 0 0 + 7k = 24 + -17 7k = 24 + -17 Combine like terms: 24 + -17 = 7 7k = 7 Divide each side by '7'. k = 1 Simplifying k = 1
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