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Simplifying 5 + -2k = 3k + -7k + 25 Reorder the terms: 5 + -2k = 25 + 3k + -7k Combine like terms: 3k + -7k = -4k 5 + -2k = 25 + -4k Solving 5 + -2k = 25 + -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. 5 + -2k + 4k = 25 + -4k + 4k Combine like terms: -2k + 4k = 2k 5 + 2k = 25 + -4k + 4k Combine like terms: -4k + 4k = 0 5 + 2k = 25 + 0 5 + 2k = 25 Add '-5' to each side of the equation. 5 + -5 + 2k = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 2k = 25 + -5 2k = 25 + -5 Combine like terms: 25 + -5 = 20 2k = 20 Divide each side by '2'. k = 10 Simplifying k = 10
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