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Simplifying 35k + 7k + -37k + -1k + -3k + 2 = 24 Reorder the terms: 2 + 35k + 7k + -37k + -1k + -3k = 24 Combine like terms: 35k + 7k = 42k 2 + 42k + -37k + -1k + -3k = 24 Combine like terms: 42k + -37k = 5k 2 + 5k + -1k + -3k = 24 Combine like terms: 5k + -1k = 4k 2 + 4k + -3k = 24 Combine like terms: 4k + -3k = 1k 2 + 1k = 24 Solving 2 + 1k = 24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1k = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 1k = 24 + -2 1k = 24 + -2 Combine like terms: 24 + -2 = 22 1k = 22 Divide each side by '1'. k = 22 Simplifying k = 22
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